105283154734564 has 81 divisors (see below), whose sum is σ = 200005047599259. Its totient is φ = 48483312840960.

The previous prime is 105283154734543. The next prime is 105283154734567. The reversal of 105283154734564 is 465437451382501.

The square root of 105283154734564 is 10260758.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 433582740900 + 104849571993664 = 658470^2 + 10239608^2 .

It is a super-2 number, since 2×105283154734564² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105283154734499 and 105283154734508.

It is not an unprimeable number, because it can be changed into a prime (105283154734567) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16396688074 + ... + 16396694494.

Almost surely, 2^{105283154734564} is an apocalyptic number.

105283154734564 is the 10260758-th square number.

It is an amenable number.

105283154734564 is a deficient number, since it is larger than the sum of its proper divisors (94721892864695).

105283154734564 is an frugal number, since it uses more digits than its factorization.

105283154734564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12974 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 58.

The spelling of 105283154734564 in words is "one hundred five trillion, two hundred eighty-three billion, one hundred fifty-four million, seven hundred thirty-four thousand, five hundred sixty-four".