100555954128 has 120 divisors (see below), whose sum is σ = 322871709888. Its totient is φ = 28618407936.

The previous prime is 100555954099. The next prime is 100555954157. The reversal of 100555954128 is 821459555001.

100555954128 is a `hidden beast` number, since 1 + 0 + 0 + 55 + 59 + 541 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (100555954099) and next prime (100555954157).

It is a super-2 number, since 2×100555954128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64975 + ... + 453137.

Almost surely, 2^100555954128 is an apocalyptic number.

100555954128 is a gapful number since it is divisible by the number (18) 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 100555954128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161435854944).

100555954128 is an abundant number, since it is smaller than the sum of its proper divisors (222315755760).

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

100555954128 is a wasteful number, since it uses less digits than its factorization.

100555954128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388441 (or 388432 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 100555954128 in words is "one hundred billion, five hundred fifty-five million, nine hundred fifty-four thousand, one hundred twenty-eight".