157105820 has 24 divisors (see below), whose sum is σ = 330178464. Its totient is φ = 62793536.

The previous prime is 157105783. The next prime is 157105831. The reversal of 157105820 is 28501751.

157105820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34814 + ... + 39066.

It is an arithmetic number, because the mean of its divisors is an integer number (13757436).

Almost surely, 2^157105820 is an apocalyptic number.

157105820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157105820 is an abundant number, since it is smaller than the sum of its proper divisors (173072644).

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

157105820 is a wasteful number, since it uses less digits than its factorization.

157105820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 157105820 is about 12534.1860525524. The cubic root of 157105820 is about 539.5902469991.

It can be divided in two parts, 15 and 7105820, that multiplied together give a triangular number (106587300 = T₁₄₆₀₀).

The spelling of 157105820 in words is "one hundred fifty-seven million, one hundred five thousand, eight hundred twenty".