107010 has 48 divisors (see below), whose sum is σ = 294840. Its totient is φ = 26880.

The previous prime is 106993. The next prime is 107021. The reversal of 107010 is 10701.

107010 = T₇₁ + T₇₂ + ... + T₉₉.

It can be written as a sum of positive squares in 4 ways, for example, as 59049 + 47961 = 243^2 + 219^2 .

It is a super-2 number, since 2×107010² = 22902280200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106983 and 107001.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107010.

It is an unprimeable number.

107010 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2590 + ... + 2630.

2¹⁰⁷⁰¹⁰ is an apocalyptic number.

107010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

107010 is an abundant number, since it is smaller than the sum of its proper divisors (187830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107010 is a wasteful number, since it uses less digits than its factorization.

107010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 107010 is about 327.1238297648. The cubic root of 107010 is about 47.4760728985.

Adding to 107010 its reverse (10701), we get a palindrome (117711).

The spelling of 107010 in words is "one hundred seven thousand, ten", and thus it is an iban number.