106561015600657 has 4 divisors (see below), whose sum is σ = 110235533380020. Its totient is φ = 102886497821296.

The previous prime is 106561015600651. The next prime is 106561015600687. The reversal of 106561015600657 is 756006510165601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 56824444163601 + 49736571437056 = 7538199^2 + 7052416^2 .

It is a cyclic number.

It is not a de Polignac number, because 106561015600657 - 2¹⁵ = 106561015567889 is a prime.

It is a super-2 number, since 2×106561015600657² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106561015600657.

It is not an unprimeable number, because it can be changed into a prime (106561015600651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1837258889638 + ... + 1837258889695.

It is an arithmetic number, because the mean of its divisors is an integer number (27558883345005).

Almost surely, 2^{106561015600657} is an apocalyptic number.

It is an amenable number.

106561015600657 is a deficient number, since it is larger than the sum of its proper divisors (3674517779363).

106561015600657 is an equidigital number, since it uses as much as digits as its factorization.

106561015600657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674517779362.

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 106561015600657 in words is "one hundred six trillion, five hundred sixty-one billion, fifteen million, six hundred thousand, six hundred fifty-seven".