107540928 has 126 divisors (see below), whose sum is σ = 339036152. Its totient is φ = 32567040.

The previous prime is 107540911. The next prime is 107540971. The reversal of 107540928 is 829045701.

107540928 is a `hidden beast` number, since 107 + 540 + 9 + 2 + 8 = 666.

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 = 107540892 and 107540901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68925 + ... + 70467.

Almost surely, 2^107540928 is an apocalyptic number.

107540928 is a gapful number since it is divisible by the number (18) 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 107540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169518076).

107540928 is an abundant number, since it is smaller than the sum of its proper divisors (231495224).

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

107540928 is a wasteful number, since it uses less digits than its factorization.

107540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1559 counting only the distinct ones).

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

The square root of 107540928 is about 10370.1942122604. The cubic root of 107540928 is about 475.5446060049.

The spelling of 107540928 in words is "one hundred seven million, five hundred forty thousand, nine hundred twenty-eight".