100159545600 has 324 divisors, whose sum is σ = 371361450096. Its totient is φ = 26708797440.

The previous prime is 100159545593. The next prime is 100159545601. The reversal of 100159545600 is 6545951001.

100159545600 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 9 + 5 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is not an unprimeable number, because it can be changed into a prime (100159545601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522999 + ... + 1587401.

Almost surely, 2^100159545600 is an apocalyptic number.

100159545600 is a gapful number since it is divisible by the number (10) 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 100159545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185680725048).

100159545600 is an abundant number, since it is smaller than the sum of its proper divisors (271201904496).

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

100159545600 is an frugal number, since it uses more digits than its factorization.

100159545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64444 (or 64413 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 100159545600 in words is "one hundred billion, one hundred fifty-nine million, five hundred forty-five thousand, six hundred".