100542615552 has 416 divisors, whose sum is σ = 319252416000. Its totient is φ = 31173672960.

The previous prime is 100542615529. The next prime is 100542615559. The reversal of 100542615552 is 255516245001.

100542615552 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 42 + 61 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100542615559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123973227 + ... + 123974037.

Almost surely, 2^100542615552 is an apocalyptic number.

100542615552 is a gapful number since it is divisible by the number (12) 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 100542615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159626208000).

100542615552 is an abundant number, since it is smaller than the sum of its proper divisors (218709800448).

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

100542615552 is an equidigital number, since it uses as much as digits as its factorization.

100542615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 100542615552 in words is "one hundred billion, five hundred forty-two million, six hundred fifteen thousand, five hundred fifty-two".