100742734718976 has 384 divisors, whose sum is σ = 316955610316800. Its totient is φ = 27846039306240.

The previous prime is 100742734718921. The next prime is 100742734719001. The reversal of 100742734718976 is 679817437247001.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4777017040 + ... + 4777038128.

It is an arithmetic number, because the mean of its divisors is an integer number (825405235200).

Almost surely, 2^{100742734718976} is an apocalyptic number.

100742734718976 is a gapful number since it is divisible by the number (16) 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 100742734718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158477805158400).

100742734718976 is an abundant number, since it is smaller than the sum of its proper divisors (216212875597824).

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

100742734718976 is a wasteful number, since it uses less digits than its factorization.

100742734718976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24735 (or 24715 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 66.

The spelling of 100742734718976 in words is "one hundred trillion, seven hundred forty-two billion, seven hundred thirty-four million, seven hundred eighteen thousand, nine hundred seventy-six".