107429721658561 has 3 divisors (see below), whose sum is σ = 107429732023393. Its totient is φ = 107429711293730.

The previous prime is 107429721658451. The next prime is 107429721658711. The reversal of 107429721658561 is 165856127924701.

It is a happy number.

The square root of 107429721658561 is 10364831.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 107429721658561 - 2²⁵ = 107429688104129 is a prime.

It is a super-2 number, since 2×107429721658561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107429721658493 and 107429721658502.

It is not an unprimeable number, because it can be changed into a prime (107429721653561) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5182416 + ... + 15547246.

Almost surely, 2^{107429721658561} is an apocalyptic number.

107429721658561 is the 10364831-st square number.

107429721658561 is the 5182416-th centered octagonal number.

It is an amenable number.

107429721658561 is a deficient number, since it is larger than the sum of its proper divisors (10364832).

107429721658561 is an frugal number, since it uses more digits than its factorization.

107429721658561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20729662 (or 10364831 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 64.

The spelling of 107429721658561 in words is "one hundred seven trillion, four hundred twenty-nine billion, seven hundred twenty-one million, six hundred fifty-eight thousand, five hundred sixty-one".