100742624556 has 48 divisors (see below), whose sum is σ = 268667857920. Its totient is φ = 28781372160.

The previous prime is 100742624539. The next prime is 100742624611. The reversal of 100742624556 is 655426247001.

It is a super-3 number, since 3×100742624556³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258036 + ... + 1335716.

It is an arithmetic number, because the mean of its divisors is an integer number (5597247040).

Almost surely, 2^100742624556 is an apocalyptic number.

It is an amenable number.

100742624556 is an abundant number, since it is smaller than the sum of its proper divisors (167925233364).

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

100742624556 is a wasteful number, since it uses less digits than its factorization.

100742624556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93134 (or 93132 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 100742624556 in words is "one hundred billion, seven hundred forty-two million, six hundred twenty-four thousand, five hundred fifty-six".