105224634 has 48 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 33749280.

The previous prime is 105224599. The next prime is 105224677. The reversal of 105224634 is 436422501.

105224634 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 24 + 634 = 666.

It is a super-2 number, since 2×105224634² = 22144447200867912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105224598 and 105224607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50587 + ... + 52625.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^105224634 is an apocalyptic number.

105224634 is an abundant number, since it is smaller than the sum of its proper divisors (131545926).

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

105224634 is a wasteful number, since it uses less digits than its factorization.

105224634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 105224634 is about 10257.9059266499. The cubic root of 105224634 is about 472.1055883905.

The spelling of 105224634 in words is "one hundred five million, two hundred twenty-four thousand, six hundred thirty-four".