100356797694976 has 99 divisors (see below), whose sum is σ = 206208547050807. Its totient is φ = 48816455639040.

The previous prime is 100356797694971. The next prime is 100356797695003. The reversal of 100356797694976 is 679496797653001.

The square root of 100356797694976 is 10017824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54087199360000 + 46269598334976 = 7354400^2 + 6802176^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100356797694896 and 100356797694905.

It is not an unprimeable number, because it can be changed into a prime (100356797694971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11861099386 + ... + 11861107846.

Almost surely, 2^{100356797694976} is an apocalyptic number.

100356797694976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100356797694976 is the 10017824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100356797694976

100356797694976 is an abundant number, since it is smaller than the sum of its proper divisors (105851749355831).

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

100356797694976 is an frugal number, since it uses more digits than its factorization.

100356797694976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17016 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 3240609120, while the sum is 79.

The spelling of 100356797694976 in words is "one hundred trillion, three hundred fifty-six billion, seven hundred ninety-seven million, six hundred ninety-four thousand, nine hundred seventy-six".