100391485188672 has 504 divisors, whose sum is σ = 304733261918592. Its totient is φ = 32801276851200.

The previous prime is 100391485188661. The next prime is 100391485188703. The reversal of 100391485188672 is 276881584193001.

100391485188672 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 9 + 1 + 48 + 518 + 8 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41638939147 + ... + 41638941557.

It is a 1-persistent number, because it is pandigital, but 2⋅100391485188672 = 200782970377344 is not.

Almost surely, 2^{100391485188672} is an apocalyptic number.

100391485188672 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 100391485188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152366630959296).

100391485188672 is an abundant number, since it is smaller than the sum of its proper divisors (204341776729920).

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

100391485188672 is an frugal number, since it uses more digits than its factorization.

100391485188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 100391485188672 in words is "one hundred trillion, three hundred ninety-one billion, four hundred eighty-five million, one hundred eighty-eight thousand, six hundred seventy-two".