105314386576 has 40 divisors (see below), whose sum is σ = 233219073024. Its totient is φ = 45130298880.

The previous prime is 105314386561. The next prime is 105314386613. The reversal of 105314386576 is 675683413501.

It is a super-2 number, since 2×105314386576² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262481 + ... + 1343311.

Almost surely, 2^105314386576 is an apocalyptic number.

105314386576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105314386576 is an abundant number, since it is smaller than the sum of its proper divisors (127904686448).

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

105314386576 is a wasteful number, since it uses less digits than its factorization.

105314386576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92479 (or 92473 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 105314386576 in words is "one hundred five billion, three hundred fourteen million, three hundred eighty-six thousand, five hundred seventy-six".