100737775872 has 72 divisors (see below), whose sum is σ = 297899346080. Its totient is φ = 33579256320.

The previous prime is 100737775871. The next prime is 100737775927. The reversal of 100737775872 is 278577737001.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (100737775871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7280254 + ... + 7294077.

Almost surely, 2^100737775872 is an apocalyptic number.

100737775872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100737775872 is an abundant number, since it is smaller than the sum of its proper divisors (197161570208).

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

100737775872 is an equidigital number, since it uses as much as digits as its factorization.

100737775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14574356 (or 14574336 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 54.

The spelling of 100737775872 in words is "one hundred billion, seven hundred thirty-seven million, seven hundred seventy-five thousand, eight hundred seventy-two".