107252964 has 144 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 28268352.

The previous prime is 107252947. The next prime is 107252969. The reversal of 107252964 is 469252701.

107252964 is a `hidden beast` number, since 1 + 0 + 72 + 529 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (107252969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68017 + ... + 69575.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2^107252964 is an apocalyptic number.

107252964 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 107252964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

107252964 is an abundant number, since it is smaller than the sum of its proper divisors (241313436).

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

107252964 is a wasteful number, since it uses less digits than its factorization.

107252964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 107252964 is about 10356.3006908838. The cubic root of 107252964 is about 475.1197688750.

It can be divided in two parts, 10725 and 2964, that added together give a square (13689 = 117²).

The spelling of 107252964 in words is "one hundred seven million, two hundred fifty-two thousand, nine hundred sixty-four".