105413682 has 32 divisors (see below), whose sum is σ = 232119360. Its totient is φ = 31648320.

The previous prime is 105413681. The next prime is 105413687. The reversal of 105413682 is 286314501.

It is a super-2 number, since 2×105413682² = 22224088705594248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105413681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (7253730).

Almost surely, 2^105413682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105413682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116059680).

105413682 is an abundant number, since it is smaller than the sum of its proper divisors (126705678).

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

105413682 is a wasteful number, since it uses less digits than its factorization.

105413682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14778.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105413682 is about 10267.1165377627. The cubic root of 105413682 is about 472.3881496677.

The spelling of 105413682 in words is "one hundred five million, four hundred thirteen thousand, six hundred eighty-two".