100159234560 has 2240 divisors, whose sum is σ = 486900336384. Its totient is φ = 19110297600.

The previous prime is 100159234537. The next prime is 100159234603. The reversal of 100159234560 is 65432951001.

100159234560 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 92 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 223 ways as a sum of consecutive naturals, for example, 2442908140 + ... + 2442908180.

Almost surely, 2^100159234560 is an apocalyptic number.

100159234560 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 100159234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243450168192).

100159234560 is an abundant number, since it is smaller than the sum of its proper divisors (386741101824).

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

100159234560 is an equidigital number, since it uses as much as digits as its factorization.

100159234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 100159234560 in words is "one hundred billion, one hundred fifty-nine million, two hundred thirty-four thousand, five hundred sixty".