100161578088 has 576 divisors, whose sum is σ = 337278090240. Its totient is φ = 26462592000.

The previous prime is 100161578081. The next prime is 100161578147. The reversal of 100161578088 is 880875161001.

100161578088 is a `hidden beast` number, since 10 + 0 + 1 + 61 + 578 + 0 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (100161578081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 524406073 + ... + 524406263.

It is an arithmetic number, because the mean of its divisors is an integer number (585552240).

Almost surely, 2^100161578088 is an apocalyptic number.

100161578088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100161578088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168639045120).

100161578088 is an abundant number, since it is smaller than the sum of its proper divisors (237116512152).

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

100161578088 is a wasteful number, since it uses less digits than its factorization.

100161578088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 100161578088 in words is "one hundred billion, one hundred sixty-one million, five hundred seventy-eight thousand, eighty-eight".