100559087616 has 384 divisors, whose sum is σ = 315691084800. Its totient is φ = 28169994240.

The previous prime is 100559087609. The next prime is 100559087617. The reversal of 100559087616 is 616780955001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×100559087616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100559087617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42091350 + ... + 42093738.

It is an arithmetic number, because the mean of its divisors is an integer number (822112200).

Almost surely, 2^100559087616 is an apocalyptic number.

100559087616 is a gapful number since it is divisible by the number (16) 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 100559087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157845542400).

100559087616 is an abundant number, since it is smaller than the sum of its proper divisors (215131997184).

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

100559087616 is a wasteful number, since it uses less digits than its factorization.

100559087616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 100559087616 in words is "one hundred billion, five hundred fifty-nine million, eighty-seven thousand, six hundred sixteen".