107860032 has 224 divisors, whose sum is σ = 373725440. Its totient is φ = 29859840.

The previous prime is 107860009. The next prime is 107860033. The reversal of 107860032 is 230068701.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 107859978 and 107860005.

It is not an unprimeable number, because it can be changed into a prime (107860033) 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 31 ways as a sum of consecutive naturals, for example, 447432 + ... + 447672.

Almost surely, 2^107860032 is an apocalyptic number.

107860032 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 107860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186862720).

107860032 is an abundant number, since it is smaller than the sum of its proper divisors (265865408).

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

107860032 is a wasteful number, since it uses less digits than its factorization.

107860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107860032 is about 10385.5684485732. The cubic root of 107860032 is about 476.0144994759.

The spelling of 107860032 in words is "one hundred seven million, eight hundred sixty thousand, thirty-two".