105258718096 has 45 divisors (see below), whose sum is σ = 237255367419. Its totient is φ = 45106985952.

The previous prime is 105258718073. The next prime is 105258718109. The reversal of 105258718096 is 690817852501.

The square root of 105258718096 is 324436.

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

It is a super-2 number, since 2×105258718096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9078415 + ... + 9090001.

Almost surely, 2^105258718096 is an apocalyptic number.

105258718096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105258718096 is the 324436-th square number.

It is an amenable number.

105258718096 is an abundant number, since it is smaller than the sum of its proper divisors (131996649323).

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

105258718096 is an frugal number, since it uses more digits than its factorization.

105258718096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23196 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 105258718096 in words is "one hundred five billion, two hundred fifty-eight million, seven hundred eighteen thousand, ninety-six".