100691875985050 has 192 divisors, whose sum is σ = 222529261215744. Its totient is φ = 33177176121600.

The previous prime is 100691875985021. The next prime is 100691875985081. The reversal of 100691875985050 is 50589578196001.

It is a super-3 number, since 3×100691875985050³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5880495789 + ... + 5880512911.

It is an arithmetic number, because the mean of its divisors is an integer number (1159006568832).

Almost surely, 2^{100691875985050} is an apocalyptic number.

100691875985050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100691875985050 is an abundant number, since it is smaller than the sum of its proper divisors (121837385230694).

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

100691875985050 is a wasteful number, since it uses less digits than its factorization.

100691875985050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22733 (or 22728 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 64.

The spelling of 100691875985050 in words is "one hundred trillion, six hundred ninety-one billion, eight hundred seventy-five million, nine hundred eighty-five thousand, fifty".