155813108100 has 144 divisors (see below), whose sum is σ = 511050415680. Its totient is φ = 36335347200.

The previous prime is 155813108063. The next prime is 155813108117. The reversal of 155813108100 is 1801318551.

155813108100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×155813108100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977271 + ... + 1125470.

It is an arithmetic number, because the mean of its divisors is an integer number (3548961220).

Almost surely, 2^155813108100 is an apocalyptic number.

155813108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155813108100 is an abundant number, since it is smaller than the sum of its proper divisors (355237307580).

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

155813108100 is a wasteful number, since it uses less digits than its factorization.

155813108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102790 (or 2102783 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 33.

The spelling of 155813108100 in words is "one hundred fifty-five billion, eight hundred thirteen million, one hundred eight thousand, one hundred".