105260015844 has 81 divisors (see below), whose sum is σ = 278263695619. Its totient is φ = 33546889200.

The previous prime is 105260015813. The next prime is 105260015857. The reversal of 105260015844 is 448510062501.

It is a happy number.

The square root of 105260015844 is 324438.

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

105260015844 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 600 + 1 + 5 + 8 + 44 = 666.

It is a super-2 number, since 2×105260015844² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105260015799 and 105260015808.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44771269 + ... + 44773619.

Almost surely, 2^105260015844 is an apocalyptic number.

105260015844 is the 324438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105260015844

105260015844 is an abundant number, since it is smaller than the sum of its proper divisors (173003679775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105260015844 is an equidigital number, since it uses as much as digits as its factorization.

105260015844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 105260015844 by its sum of digits (36), we get a square (3789360570384 = 1946628²).

105260015844 divided by its sum of digits (36) gives a square (2923889329 = 54073²).

The spelling of 105260015844 in words is "one hundred five billion, two hundred sixty million, fifteen thousand, eight hundred forty-four".