107264840 has 32 divisors (see below), whose sum is σ = 245307960. Its totient is φ = 42201600.

The previous prime is 107264803. The next prime is 107264851. The reversal of 107264840 is 48462701.

It can be written as a sum of positive squares in 4 ways, for example, as 74615044 + 32649796 = 8638^2 + 5714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107264797 and 107264806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19541 + ... + 24420.

Almost surely, 2^107264840 is an apocalyptic number.

107264840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107264840 is an abundant number, since it is smaller than the sum of its proper divisors (138043120).

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

107264840 is a wasteful number, since it uses less digits than its factorization.

107264840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44033 (or 44029 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 107264840 is about 10356.8740457727. The cubic root of 107264840 is about 475.1373047202.

The spelling of 107264840 in words is "one hundred seven million, two hundred sixty-four thousand, eight hundred forty".