107885952 has 256 divisors, whose sum is σ = 352512000. Its totient is φ = 32348160.

The previous prime is 107885929. The next prime is 107885977. The reversal of 107885952 is 259588701.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 107885898 and 107885907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2035558 + ... + 2035610.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^107885952 is an apocalyptic number.

107885952 is a gapful number since it is divisible by the number (12) 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 107885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

107885952 is an abundant number, since it is smaller than the sum of its proper divisors (244626048).

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

107885952 is a wasteful number, since it uses less digits than its factorization.

107885952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 107885952 is about 10386.8162590854. The cubic root of 107885952 is about 476.0526269991.

The spelling of 107885952 in words is "one hundred seven million, eight hundred eighty-five thousand, nine hundred fifty-two".