107029264 has 20 divisors (see below), whose sum is σ = 209701980. Its totient is φ = 52912640.

The previous prime is 107029259. The next prime is 107029277. The reversal of 107029264 is 462920701.

It can be written as a sum of positive squares in 2 ways, for example, as 28174864 + 78854400 = 5308^2 + 8880^2 .

It is a super-2 number, since 2×107029264² = 22910526704763392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36157 + ... + 39004.

It is an arithmetic number, because the mean of its divisors is an integer number (10485099).

Almost surely, 2^107029264 is an apocalyptic number.

It is an amenable number.

107029264 is a deficient number, since it is larger than the sum of its proper divisors (102672716).

107029264 is an equidigital number, since it uses as much as digits as its factorization.

107029264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75258 (or 75252 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 107029264 is about 10345.4948649158. The cubic root of 107029264 is about 474.7892161727.

Adding to 107029264 its reverse (462920701), we get a palindrome (569949965).

The spelling of 107029264 in words is "one hundred seven million, twenty-nine thousand, two hundred sixty-four".