107672040 has 96 divisors (see below), whose sum is σ = 399934080. Its totient is φ = 24610176.

The previous prime is 107672009. The next prime is 107672057. The reversal of 107672040 is 40276701.

It is a junction number, because it is equal to n+sod(n) for n = 107671995 and 107672013.

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, 18844 + ... + 23883.

It is an arithmetic number, because the mean of its divisors is an integer number (4165980).

Almost surely, 2^107672040 is an apocalyptic number.

107672040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107672040 is an abundant number, since it is smaller than the sum of its proper divisors (292262040).

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

107672040 is a wasteful number, since it uses less digits than its factorization.

107672040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42751 (or 42744 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107672040 is about 10376.5138654560. The cubic root of 107672040 is about 475.7377860471.

The spelling of 107672040 in words is "one hundred seven million, six hundred seventy-two thousand, forty".