100751164416 has 440 divisors, whose sum is σ = 361979689280. Its totient is φ = 27268005888.

The previous prime is 100751164399. The next prime is 100751164463. The reversal of 100751164416 is 614461157001.

100751164416 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 5 + 1 + 1 + 644 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11026986 + ... + 11036118.

It is an arithmetic number, because the mean of its divisors is an integer number (822681112).

Almost surely, 2^100751164416 is an apocalyptic number.

100751164416 is a gapful number since it is divisible by the number (16) 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 100751164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180989844640).

100751164416 is an abundant number, since it is smaller than the sum of its proper divisors (261228524864).

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

100751164416 is an equidigital number, since it uses as much as digits as its factorization.

100751164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 100751164416 in words is "one hundred billion, seven hundred fifty-one million, one hundred sixty-four thousand, four hundred sixteen".