100944673906752 has 112 divisors (see below), whose sum is σ = 319586236193280. Its totient is φ = 31059899656704.

The previous prime is 100944673906711. The next prime is 100944673906889. The reversal of 100944673906752 is 257609376449001.

100944673906752 is a `hidden beast` number, since 1 + 0 + 0 + 94 + 467 + 39 + 0 + 6 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100944673906752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2246787408 + ... + 2246832335.

It is an arithmetic number, because the mean of its divisors is an integer number (2853448537440).

Almost surely, 2^{100944673906752} is an apocalyptic number.

100944673906752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100944673906752 is an abundant number, since it is smaller than the sum of its proper divisors (218641562286528).

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

100944673906752 is a wasteful number, since it uses less digits than its factorization.

100944673906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493619777 (or 4493619761 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 100944673906752 in words is "one hundred trillion, nine hundred forty-four billion, six hundred seventy-three million, nine hundred six thousand, seven hundred fifty-two".