107529840 has 120 divisors (see below), whose sum is σ = 393979248. Its totient is φ = 26065920.

The previous prime is 107529827. The next prime is 107529857. The reversal of 107529840 is 48925701.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 107529795 and 107529804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132 + ... + 14708.

Almost surely, 2^107529840 is an apocalyptic number.

107529840 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 107529840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196989624).

107529840 is an abundant number, since it is smaller than the sum of its proper divisors (286449408).

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

107529840 is a wasteful number, since it uses less digits than its factorization.

107529840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107529840 is about 10369.6595893983. The cubic root of 107529840 is about 475.5282617786.

The spelling of 107529840 in words is "one hundred seven million, five hundred twenty-nine thousand, eight hundred forty".