100109294495172 has 288 divisors, whose sum is σ = 274798270656000. Its totient is φ = 30629594949120.

The previous prime is 100109294495129. The next prime is 100109294495251. The reversal of 100109294495172 is 271594492901001.

100109294495172 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 9 + 29 + 449 + 5 + 172 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4298184847 + ... + 4298208137.

It is an arithmetic number, because the mean of its divisors is an integer number (954160662000).

Almost surely, 2^{100109294495172} is an apocalyptic number.

100109294495172 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 100109294495172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137399135328000).

100109294495172 is an abundant number, since it is smaller than the sum of its proper divisors (174688976160828).

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

100109294495172 is a wasteful number, since it uses less digits than its factorization.

100109294495172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24911 (or 24906 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 100109294495172 in words is "one hundred trillion, one hundred nine billion, two hundred ninety-four million, four hundred ninety-five thousand, one hundred seventy-two".