107700 has 36 divisors (see below), whose sum is σ = 312480. Its totient is φ = 28640.

The previous prime is 107699. The next prime is 107713. The reversal of 107700 is 7701.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 107700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2¹⁰⁷⁷⁰⁰ is an apocalyptic number.

107700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

107700 is an abundant number, since it is smaller than the sum of its proper divisors (204780).

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

107700 is a wasteful number, since it uses less digits than its factorization.

107700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 107700 is about 328.1767816284. The cubic root of 107700 is about 47.5778961940.

Subtracting from 107700 its reverse (7701), we obtain a palindrome (99999).

The spelling of 107700 in words is "one hundred seven thousand, seven hundred", and thus it is an iban number.