105347657 has 8 divisors (see below), whose sum is σ = 112361256. Its totient is φ = 98424832.

The previous prime is 105347639. The next prime is 105347677. The reversal of 105347657 is 756743501.

It can be written as a sum of positive squares in 4 ways, for example, as 64336441 + 41011216 = 8021^2 + 6404^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105347657 - 2²⁶ = 38238793 is a prime.

It is a super-2 number, since 2×105347657² = 22196257670779298, which 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 105347657.

It is not an unprimeable number, because it can be changed into a prime (105347677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20288 + ... + 24945.

It is an arithmetic number, because the mean of its divisors is an integer number (14045157).

Almost surely, 2^105347657 is an apocalyptic number.

105347657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105347657 is a deficient number, since it is larger than the sum of its proper divisors (7013599).

105347657 is a wasteful number, since it uses less digits than its factorization.

105347657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45387.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 105347657 is about 10263.9006717719. The cubic root of 105347657 is about 472.2895035812.

The spelling of 105347657 in words is "one hundred five million, three hundred forty-seven thousand, six hundred fifty-seven".