105716634 has 32 divisors (see below), whose sum is σ = 218916864. Its totient is φ = 33998640.

The previous prime is 105716623. The next prime is 105716641. The reversal of 105716634 is 436617501.

It is a super-2 number, since 2×105716634² = 22352013408579912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105716595 and 105716604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81757 + ... + 83039.

It is an arithmetic number, because the mean of its divisors is an integer number (6841152).

Almost surely, 2^105716634 is an apocalyptic number.

105716634 is an abundant number, since it is smaller than the sum of its proper divisors (113200230).

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

105716634 is a wasteful number, since it uses less digits than its factorization.

105716634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105716634 is about 10281.8594621790. The cubic root of 105716634 is about 472.8402543450.

It can be divided in two parts, 10571 and 6634, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 105716634 in words is "one hundred five million, seven hundred sixteen thousand, six hundred thirty-four".