100814355032560 has 80 divisors (see below), whose sum is σ = 252465215817024. Its totient is φ = 37217630140416.

The previous prime is 100814355032467. The next prime is 100814355032563. The reversal of 100814355032560 is 65230553418001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100814355032563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665052 + ... + 14296891.

Almost surely, 2^{100814355032560} is an apocalyptic number.

100814355032560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100814355032560 is an abundant number, since it is smaller than the sum of its proper divisors (151650860784464).

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

100814355032560 is a wasteful number, since it uses less digits than its factorization.

100814355032560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15968042 (or 15968036 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 100814355032560 in words is "one hundred trillion, eight hundred fourteen billion, three hundred fifty-five million, thirty-two thousand, five hundred sixty".