100316845152 has 72 divisors (see below), whose sum is σ = 289294059600. Its totient is φ = 32967970560.

The previous prime is 100316845121. The next prime is 100316845171. The reversal of 100316845152 is 251548613001.

100316845152 is a `hidden beast` number, since 100 + 31 + 6 + 8 + 4 + 515 + 2 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2432527 + ... + 2473422.

It is an arithmetic number, because the mean of its divisors is an integer number (4017973050).

Almost surely, 2^100316845152 is an apocalyptic number.

100316845152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100316845152 is an abundant number, since it is smaller than the sum of its proper divisors (188977214448).

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

100316845152 is a wasteful number, since it uses less digits than its factorization.

100316845152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906036 (or 4906025 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 100316845152 in words is "one hundred billion, three hundred sixteen million, eight hundred forty-five thousand, one hundred fifty-two".