100838533158720 has 1792 divisors, whose sum is σ = 437214873600000. Its totient is φ = 21366865428480.

The previous prime is 100838533158691. The next prime is 100838533158731. The reversal of 100838533158720 is 27851335838001.

100838533158720 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 3 + 8 + 5 + 3 + 31 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13949164066 + ... + 13949171294.

Almost surely, 2^{100838533158720} is an apocalyptic number.

100838533158720 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 100838533158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218607436800000).

100838533158720 is an abundant number, since it is smaller than the sum of its proper divisors (336376340441280).

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

100838533158720 is a wasteful number, since it uses less digits than its factorization.

100838533158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 100838533158720 in words is "one hundred trillion, eight hundred thirty-eight billion, five hundred thirty-three million, one hundred fifty-eight thousand, seven hundred twenty".