105416531 has 8 divisors (see below), whose sum is σ = 115951728. Its totient is φ = 95832000.

The previous prime is 105416513. The next prime is 105416543. The reversal of 105416531 is 135614501.

It is not a de Polignac number, because 105416531 - 2²² = 101222227 is a prime.

It is a super-2 number, since 2×105416531² = 22225290016147922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105416531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105418531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38270 + ... + 40931.

It is an arithmetic number, because the mean of its divisors is an integer number (14493966).

Almost surely, 2^105416531 is an apocalyptic number.

105416531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105416531 is a deficient number, since it is larger than the sum of its proper divisors (10535197).

105416531 is an frugal number, since it uses more digits than its factorization.

105416531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79234 (or 79212 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105416531 is about 10267.2552807457. The cubic root of 105416531 is about 472.3924053510.

The spelling of 105416531 in words is "one hundred five million, four hundred sixteen thousand, five hundred thirty-one".