107024900 has 18 divisors (see below), whose sum is σ = 232244250. Its totient is φ = 42809920.

The previous prime is 107024887. The next prime is 107024909. The reversal of 107024900 is 9420701.

It can be written as a sum of positive squares in 3 ways, for example, as 8340544 + 98684356 = 2888^2 + 9934^2 .

It is a super-2 number, since 2×107024900² = 22908658440020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107024909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 535025 + ... + 535224.

Almost surely, 2^107024900 is an apocalyptic number.

107024900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107024900 is an abundant number, since it is smaller than the sum of its proper divisors (125219350).

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

107024900 is a wasteful number, since it uses less digits than its factorization.

107024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070263 (or 1070256 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 107024900 is about 10345.2839497038. The cubic root of 107024900 is about 474.7827630830.

The spelling of 107024900 in words is "one hundred seven million, twenty-four thousand, nine hundred".