100311622393761 has 81 divisors (see below), whose sum is σ = 153417976411609. Its totient is φ = 65584509797664.

The previous prime is 100311622393729. The next prime is 100311622393817. The reversal of 100311622393761 is 167393226113001.

The square root of 100311622393761 is 10015569.

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

100311622393761 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 11 + 622 + 3 + 9 + 3 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 468360928161 + 99843261465600 = 684369^2 + 9992160^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 100311622393761 - 2⁵ = 100311622393729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100311622393861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42996836551 + ... + 42996838883.

Almost surely, 2^{100311622393761} is an apocalyptic number.

100311622393761 is the 10015569-th square number.

100311622393761 is the 5007785-th centered octagonal number.

It is an amenable number.

100311622393761 is a deficient number, since it is larger than the sum of its proper divisors (53106354017848).

100311622393761 is an frugal number, since it uses more digits than its factorization.

100311622393761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 100311622393761 in words is "one hundred trillion, three hundred eleven billion, six hundred twenty-two million, three hundred ninety-three thousand, seven hundred sixty-one".