105413598 has 24 divisors (see below), whose sum is σ = 228782736. Its totient is φ = 35078400.

The previous prime is 105413593. The next prime is 105413603. The reversal of 105413598 is 895314501.

105413598 is a `hidden beast` number, since 1 + 0 + 54 + 13 + 598 = 666.

It is an interprime number because it is at equal distance from previous prime (105413593) and next prime (105413603).

It is a super-2 number, since 2×105413598² = 22224053286611208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6718 + ... + 15998.

It is an arithmetic number, because the mean of its divisors is an integer number (9532614).

Almost surely, 2^105413598 is an apocalyptic number.

105413598 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105413598 is an abundant number, since it is smaller than the sum of its proper divisors (123369138).

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

105413598 is a wasteful number, since it uses less digits than its factorization.

105413598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105413598 is about 10267.1124470320. The cubic root of 105413598 is about 472.3880241919.

The spelling of 105413598 in words is "one hundred five million, four hundred thirteen thousand, five hundred ninety-eight".