107866440 has 96 divisors (see below), whose sum is σ = 382449600. Its totient is φ = 26148480.

The previous prime is 107866417. The next prime is 107866459. The reversal of 107866440 is 44668701.

107866440 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 644 + 0 = 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 = 107866395 and 107866404.

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, 9660 + ... + 17579.

It is an arithmetic number, because the mean of its divisors is an integer number (3983850).

Almost surely, 2^107866440 is an apocalyptic number.

107866440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107866440 is an abundant number, since it is smaller than the sum of its proper divisors (274583160).

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

107866440 is a wasteful number, since it uses less digits than its factorization.

107866440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27267 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 107866440 is about 10385.8769490111. The cubic root of 107866440 is about 476.0239260153.

The spelling of 107866440 in words is "one hundred seven million, eight hundred sixty-six thousand, four hundred forty".