157105368 has 72 divisors (see below), whose sum is σ = 494973180. Its totient is φ = 44886240.

The previous prime is 157105363. The next prime is 157105379. The reversal of 157105368 is 863501751.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157105363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18738 + ... + 25793.

Almost surely, 2^157105368 is an apocalyptic number.

157105368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157105368 is an abundant number, since it is smaller than the sum of its proper divisors (337867812).

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

157105368 is a wasteful number, since it uses less digits than its factorization.

157105368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44557 (or 44543 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 157105368 is about 12534.1680218513. The cubic root of 157105368 is about 539.5897295240.

The spelling of 157105368 in words is "one hundred fifty-seven million, one hundred five thousand, three hundred sixty-eight".