105260634 has 80 divisors (see below), whose sum is σ = 256733928. Its totient is φ = 32099328.

The previous prime is 105260621. The next prime is 105260641. The reversal of 105260634 is 436062501.

105260634 is a `hidden beast` number, since 1 + 0 + 5 + 26 + 0 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97121025 + 8139609 = 9855^2 + 2853^2 .

It is a super-2 number, since 2×105260634² = 22159602140163912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105260598 and 105260607.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101382 + ... + 102414.

Almost surely, 2^105260634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105260634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128366964).

105260634 is an abundant number, since it is smaller than the sum of its proper divisors (151473294).

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

105260634 is a wasteful number, since it uses less digits than its factorization.

105260634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105260634 is about 10259.6605206995. The cubic root of 105260634 is about 472.1594219929.

The spelling of 105260634 in words is "one hundred five million, two hundred sixty thousand, six hundred thirty-four".