100344062511 has 48 divisors (see below), whose sum is σ = 181409649408. Its totient is φ = 51923865600.

The previous prime is 100344062503. The next prime is 100344062513. The reversal of 100344062511 is 115260443001.

It is a happy number.

100344062511 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 406 + 251 + 1 = 666.

It is not a de Polignac number, because 100344062511 - 2³ = 100344062503 is a prime.

It is a super-2 number, since 2×100344062511² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344062513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103605 + ... + 459806.

It is an arithmetic number, because the mean of its divisors is an integer number (3779367696).

Almost surely, 2^100344062511 is an apocalyptic number.

100344062511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100344062511 is a deficient number, since it is larger than the sum of its proper divisors (81065586897).

100344062511 is a wasteful number, since it uses less digits than its factorization.

100344062511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563692 (or 563689 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100344062511 in words is "one hundred billion, three hundred forty-four million, sixty-two thousand, five hundred eleven".