105034815456857 has 32 divisors (see below), whose sum is σ = 127719609701376. Its totient is φ = 85069160582400.

The previous prime is 105034815456827. The next prime is 105034815456931. The reversal of 105034815456857 is 758654518430501.

It is a happy number.

It is not a de Polignac number, because 105034815456857 - 2¹⁸ = 105034815194713 is a prime.

It is a super-2 number, since 2×105034815456857² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105034815456857.

It is not an unprimeable number, because it can be changed into a prime (105034815456827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30107678 + ... + 33414695.

It is an arithmetic number, because the mean of its divisors is an integer number (3991237803168).

Almost surely, 2^{105034815456857} is an apocalyptic number.

It is an amenable number.

105034815456857 is a deficient number, since it is larger than the sum of its proper divisors (22684794244519).

105034815456857 is a wasteful number, since it uses less digits than its factorization.

105034815456857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63522801.

The product of its (nonzero) digits is 80640000, while the sum is 62.

The spelling of 105034815456857 in words is "one hundred five trillion, thirty-four billion, eight hundred fifteen million, four hundred fifty-six thousand, eight hundred fifty-seven".