100457318976768 has 360 divisors, whose sum is σ = 327006584651208. Its totient is φ = 30486514434048.

The previous prime is 100457318976689. The next prime is 100457318976799. The reversal of 100457318976768 is 867679813754001.

100457318976768 is a `hidden beast` number, since 1 + 0 + 0 + 457 + 3 + 18 + 97 + 6 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2181978031104 + 98275340945664 = 1477152^2 + 9913392^2 .

It is a super-2 number, since 2×100457318976768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 100457318976696 and 100457318976705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17125996 + ... + 22230932.

Almost surely, 2^{100457318976768} is an apocalyptic number.

100457318976768 is a gapful number since it is divisible by the number (18) 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 100457318976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163503292325604).

100457318976768 is an abundant number, since it is smaller than the sum of its proper divisors (226549265674440).

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

100457318976768 is an equidigital number, since it uses as much as digits as its factorization.

100457318976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105051 (or 5105028 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 100457318976768 in words is "one hundred trillion, four hundred fifty-seven billion, three hundred eighteen million, nine hundred seventy-six thousand, seven hundred sixty-eight".