1070100 has 108 divisors (see below), whose sum is σ = 3554460. Its totient is φ = 268800.

The previous prime is 1070093. The next prime is 1070131. The reversal of 1070100 is 10701.

1070100 = T₂₈₀ + T₂₈₁ + ... + T₃₀₄.

It can be written as a sum of positive squares in 6 ways, for example, as 171396 + 898704 = 414^2 + 948^2 .

It is a super-2 number, since 2×1070100² = 2290228020000, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26080 + ... + 26120.

2^1070100 is an apocalyptic number.

1070100 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 1070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777230).

1070100 is an abundant number, since it is smaller than the sum of its proper divisors (2484360).

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

1070100 is a wasteful number, since it uses less digits than its factorization.

1070100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

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

The square root of 1070100 is about 1034.4563789740. The cubic root of 1070100 is about 102.2840983990.

Adding to 1070100 its reverse (10701), we get a palindrome (1080801).

Multiplying 1070100 by its reverse (10701), we get a square (11451140100 = 107010²).

1070100 divided by its reverse (10701) gives a square (100 = 10²).

The spelling of 1070100 in words is "one million, seventy thousand, one hundred".