106157813686561 has 64 divisors (see below), whose sum is σ = 136492463923200. Its totient is φ = 80249244235776.

The previous prime is 106157813686513. The next prime is 106157813686567. The reversal of 106157813686561 is 165686318751601.

It is not a de Polignac number, because 106157813686561 - 2⁹ = 106157813686049 is a prime.

It is a super-2 number, since 2×106157813686561² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106157813686493 and 106157813686502.

It is not an unprimeable number, because it can be changed into a prime (106157813686567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9239946705 + ... + 9239958193.

It is an arithmetic number, because the mean of its divisors is an integer number (2132694748800).

Almost surely, 2^{106157813686561} is an apocalyptic number.

It is an amenable number.

106157813686561 is a deficient number, since it is larger than the sum of its proper divisors (30334650236639).

106157813686561 is a wasteful number, since it uses less digits than its factorization.

106157813686561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16198.

The product of its (nonzero) digits is 43545600, while the sum is 64.

The spelling of 106157813686561 in words is "one hundred six trillion, one hundred fifty-seven billion, eight hundred thirteen million, six hundred eighty-six thousand, five hundred sixty-one".