107064640 has 56 divisors (see below), whose sum is σ = 269958312. Its totient is φ = 40304640.

The previous prime is 107064619. The next prime is 107064649. The reversal of 107064640 is 46460701.

It can be written as a sum of positive squares in 4 ways, for example, as 54878464 + 52186176 = 7408^2 + 7224^2 .

It is a super-2 number, since 2×107064640² = 22925674276659200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107064599 and 107064608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107064649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4401 + ... + 15280.

Almost surely, 2^107064640 is an apocalyptic number.

107064640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107064640 is an abundant number, since it is smaller than the sum of its proper divisors (162893672).

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

107064640 is a wasteful number, since it uses less digits than its factorization.

107064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19715 (or 19705 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 107064640 is about 10347.2044533777. The cubic root of 107064640 is about 474.8415205378.

The spelling of 107064640 in words is "one hundred seven million, sixty-four thousand, six hundred forty".