105607657 has 4 divisors (see below), whose sum is σ = 108461956. Its totient is φ = 102753360.

The previous prime is 105607631. The next prime is 105607661. The reversal of 105607657 is 756706501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 756706501 = 241 ⋅3139861.

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 53421481 = 7224^2 + 7309^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105607657 is a prime.

It is a super-2 number, since 2×105607657² = 22305954434059298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37), and also a Moran number because the ratio is a prime number: 2854261 = 105607657 / (1 + 0 + 5 + 6 + 0 + 7 + 6 + 5 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105607687) 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, 1427094 + ... + 1427167.

It is an arithmetic number, because the mean of its divisors is an integer number (27115489).

Almost surely, 2^105607657 is an apocalyptic number.

It is an amenable number.

105607657 is a deficient number, since it is larger than the sum of its proper divisors (2854299).

105607657 is an equidigital number, since it uses as much as digits as its factorization.

105607657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854298.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 105607657 is about 10276.5586165798. The cubic root of 105607657 is about 472.6777241718.

The spelling of 105607657 in words is "one hundred five million, six hundred seven thousand, six hundred fifty-seven".