100738485515724 has 96 divisors (see below), whose sum is σ = 268744257632256. Its totient is φ = 28770823434240.

The previous prime is 100738485515587. The next prime is 100738485515827. The reversal of 100738485515724 is 427515584837001.

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, 3268910364 + ... + 3268941180.

It is an arithmetic number, because the mean of its divisors is an integer number (2799419350336).

Almost surely, 2^{100738485515724} is an apocalyptic number.

100738485515724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100738485515724 is an abundant number, since it is smaller than the sum of its proper divisors (168005772116532).

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

100738485515724 is a wasteful number, since it uses less digits than its factorization.

100738485515724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45255 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 60.

The spelling of 100738485515724 in words is "one hundred trillion, seven hundred thirty-eight billion, four hundred eighty-five million, five hundred fifteen thousand, seven hundred twenty-four".