107252640 has 384 divisors, whose sum is σ = 427472640. Its totient is φ = 24883200.

The previous prime is 107252623. The next prime is 107252647. The reversal of 107252640 is 46252701.

107252640 is a `hidden beast` number, since 10 + 7 + 2 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107252647) 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 63 ways as a sum of consecutive naturals, for example, 1758210 + ... + 1758270.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^107252640 is an apocalyptic number.

107252640 is a gapful number since it is divisible by the number (10) 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 107252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

107252640 is an abundant number, since it is smaller than the sum of its proper divisors (320220000).

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

107252640 is a wasteful number, since it uses less digits than its factorization.

107252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107252640 is about 10356.2850482207. The cubic root of 107252640 is about 475.1192904454.

The spelling of 107252640 in words is "one hundred seven million, two hundred fifty-two thousand, six hundred forty".