100090542024 has 160 divisors (see below), whose sum is σ = 310141275840. Its totient is φ = 29903126400.

The previous prime is 100090542011. The next prime is 100090542043. The reversal of 100090542024 is 420245090001.

100090542024 is a `hidden beast` number, since 10 + 0 + 0 + 90 + 542 + 0 + 24 = 666.

It is a super-2 number, since 2×100090542024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407202 + ... + 604974.

It is an arithmetic number, because the mean of its divisors is an integer number (1938382974).

Almost surely, 2^100090542024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100090542024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155070637920).

100090542024 is an abundant number, since it is smaller than the sum of its proper divisors (210050733816).

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

100090542024 is a wasteful number, since it uses less digits than its factorization.

100090542024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197873 (or 197860 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100090542024 in words is "one hundred billion, ninety million, five hundred forty-two thousand, twenty-four".