100542535188480 has 2160 divisors, whose sum is σ = 440346819249792. Its totient is φ = 20772185702400.

The previous prime is 100542535188457. The next prime is 100542535188541. The reversal of 100542535188480 is 84881535245001.

100542535188480 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 42 + 5 + 3 + 518 + 8 + 4 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145502944935 + ... + 145502945625.

Almost surely, 2^{100542535188480} is an apocalyptic number.

100542535188480 is a gapful number since it is divisible by the number (10) 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 100542535188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220173409624896).

100542535188480 is an abundant number, since it is smaller than the sum of its proper divisors (339804284061312).

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

100542535188480 is a wasteful number, since it uses less digits than its factorization.

100542535188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 100542535188480 in words is "one hundred trillion, five hundred forty-two billion, five hundred thirty-five million, one hundred eighty-eight thousand, four hundred eighty".