100388161664 has 128 divisors (see below), whose sum is σ = 241242240000. Its totient is φ = 40648946688.

The previous prime is 100388161661. The next prime is 100388161667. The reversal of 100388161664 is 466161883001.

It is an interprime number because it is at equal distance from previous prime (100388161661) and next prime (100388161667).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (100388161661) 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, 6444317 + ... + 6459875.

It is an arithmetic number, because the mean of its divisors is an integer number (1884705000).

Almost surely, 2^100388161664 is an apocalyptic number.

100388161664 is a gapful number since it is divisible by the number (14) 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 100388161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120621120000).

100388161664 is an abundant number, since it is smaller than the sum of its proper divisors (140854078336).

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

100388161664 is a wasteful number, since it uses less digits than its factorization.

100388161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15978 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 100388161664 in words is "one hundred billion, three hundred eighty-eight million, one hundred sixty-one thousand, six hundred sixty-four".