100941372623232 has 640 divisors, whose sum is σ = 314316439113600. Its totient is φ = 32115704463360.

The previous prime is 100941372623197. The next prime is 100941372623243. The reversal of 100941372623232 is 232326273149001.

100941372623232 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 4 + 13 + 7 + 2 + 623 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×100941372623232² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39693814153 + ... + 39693816695.

It is an arithmetic number, because the mean of its divisors is an integer number (491119436115).

Almost surely, 2^{100941372623232} is an apocalyptic number.

100941372623232 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 100941372623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157158219556800).

100941372623232 is an abundant number, since it is smaller than the sum of its proper divisors (213375066490368).

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

100941372623232 is a wasteful number, since it uses less digits than its factorization.

100941372623232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 100941372623232 in words is "one hundred trillion, nine hundred forty-one billion, three hundred seventy-two million, six hundred twenty-three thousand, two hundred thirty-two".