105461315758096 has 45 divisors (see below), whose sum is σ = 204910343517789. Its totient is φ = 52581648362688.

The previous prime is 105461315758067. The next prime is 105461315758189. The reversal of 105461315758096 is 690857513164501.

The square root of 105461315758096 is 10269436.

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

It can be written as a sum of positive squares in only one way, i.e., 57324583690000 + 48136732068096 = 7571300^2 + 6938064^2 .

It is a super-2 number, since 2×105461315758096² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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, 15321995071 + ... + 15322001953.

Almost surely, 2^{105461315758096} is an apocalyptic number.

105461315758096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105461315758096 is the 10269436-th square number.

It is an amenable number.

105461315758096 is a deficient number, since it is larger than the sum of its proper divisors (99449027759693).

105461315758096 is an frugal number, since it uses more digits than its factorization.

105461315758096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14520 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 61.

The spelling of 105461315758096 in words is "one hundred five trillion, four hundred sixty-one billion, three hundred fifteen million, seven hundred fifty-eight thousand, ninety-six".