105013632 has 32 divisors (see below), whose sum is σ = 278943480. Its totient is φ = 35004416.

The previous prime is 105013619. The next prime is 105013663. The reversal of 105013632 is 236310501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105013632² = 22055725811662848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105013599 and 105013608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136353 + ... + 137120.

Almost surely, 2^105013632 is an apocalyptic number.

105013632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105013632 is an abundant number, since it is smaller than the sum of its proper divisors (173929848).

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

105013632 is an equidigital number, since it uses as much as digits as its factorization.

105013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273490 (or 273478 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105013632 is about 10247.6159178611. The cubic root of 105013632 is about 471.7898135305.

The spelling of 105013632 in words is "one hundred five million, thirteen thousand, six hundred thirty-two".