100993446000 has 160 divisors (see below), whose sum is σ = 361781160000. Its totient is φ = 26931571200.

The previous prime is 100993445977. The next prime is 100993446017. The reversal of 100993446000 is 644399001.

100993446000 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 3 + 44 + 600 + 0 = 666.

It is a super-2 number, since 2×100993446000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881125 + ... + 989124.

It is an arithmetic number, because the mean of its divisors is an integer number (2261132250).

Almost surely, 2^100993446000 is an apocalyptic number.

100993446000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100993446000 is an abundant number, since it is smaller than the sum of its proper divisors (260787714000).

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

100993446000 is a wasteful number, since it uses less digits than its factorization.

100993446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870281 (or 1870259 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 100993446000 in words is "one hundred billion, nine hundred ninety-three million, four hundred forty-six thousand".