107003936 has 24 divisors (see below), whose sum is σ = 226869804. Its totient is φ = 49386240.

The previous prime is 107003927. The next prime is 107003951. The reversal of 107003936 is 639300701.

It can be written as a sum of positive squares in 2 ways, for example, as 106090000 + 913936 = 10300^2 + 956^2 .

It is a super-2 number, since 2×107003936² = 22899684638984192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107003899 and 107003908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128195 + ... + 129026.

Almost surely, 2^107003936 is an apocalyptic number.

107003936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107003936 is an abundant number, since it is smaller than the sum of its proper divisors (119865868).

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

107003936 is a wasteful number, since it uses less digits than its factorization.

107003936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257244 (or 257236 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 107003936 is about 10344.2706847801. The cubic root of 107003936 is about 474.7517609648.

The spelling of 107003936 in words is "one hundred seven million, three thousand, nine hundred thirty-six".