100475375616 has 1456 divisors, whose sum is σ = 412543319040. Its totient is φ = 23648993280.

The previous prime is 100475375537. The next prime is 100475375647. The reversal of 100475375616 is 616573574001.

100475375616 is a `hidden beast` number, since 10 + 0 + 4 + 75 + 3 + 7 + 561 + 6 = 666.

It is a super-2 number, since 2×100475375616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4368494581 + ... + 4368494603.

Almost surely, 2^100475375616 is an apocalyptic number.

100475375616 is a gapful number since it is divisible by the number (16) 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 100475375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206271659520).

100475375616 is an abundant number, since it is smaller than the sum of its proper divisors (312067943424).

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

100475375616 is an equidigital number, since it uses as much as digits as its factorization.

100475375616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 100475375616 in words is "one hundred billion, four hundred seventy-five million, three hundred seventy-five thousand, six hundred sixteen".