107153040 has 80 divisors (see below), whose sum is σ = 351727488. Its totient is φ = 26892288.

The previous prime is 107152979. The next prime is 107153047. The reversal of 107153040 is 40351701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107153040² = 22963547962483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107152998 and 107153016.

It is not an unprimeable number, because it can be changed into a prime (107153047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9052 + ... + 17211.

Almost surely, 2^107153040 is an apocalyptic number.

107153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107153040 is an abundant number, since it is smaller than the sum of its proper divisors (244574448).

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

107153040 is a wasteful number, since it uses less digits than its factorization.

107153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26296 (or 26290 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 107153040 is about 10351.4752571795. The cubic root of 107153040 is about 474.9721719616.

The spelling of 107153040 in words is "one hundred seven million, one hundred fifty-three thousand, forty".