107196264 has 128 divisors (see below), whose sum is σ = 351436800. Its totient is φ = 29626560.

The previous prime is 107196251. The next prime is 107196269. The reversal of 107196264 is 462691701.

107196264 is a `hidden beast` number, since 10 + 7 + 19 + 626 + 4 = 666.

It is a super-2 number, since 2×107196264² = 22982078031115392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107196269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45729 + ... + 48015.

It is an arithmetic number, because the mean of its divisors is an integer number (2745600).

Almost surely, 2^107196264 is an apocalyptic number.

107196264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107196264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175718400).

107196264 is an abundant number, since it is smaller than the sum of its proper divisors (244240536).

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

107196264 is a wasteful number, since it uses less digits than its factorization.

107196264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107196264 is about 10353.5628650238. The cubic root of 107196264 is about 475.0360290307.

The spelling of 107196264 in words is "one hundred seven million, one hundred ninety-six thousand, two hundred sixty-four".