105413136 has 20 divisors (see below), whose sum is σ = 272317392. Its totient is φ = 35137696.

The previous prime is 105413129. The next prime is 105413171. The reversal of 105413136 is 631314501.

It is a super-2 number, since 2×105413136² = 22223858482708992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1098006 + ... + 1098101.

Almost surely, 2^105413136 is an apocalyptic number.

105413136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105413136 is an abundant number, since it is smaller than the sum of its proper divisors (166904256).

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

105413136 is a wasteful number, since it uses less digits than its factorization.

105413136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196118 (or 2196112 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105413136 is about 10267.0899479843. The cubic root of 105413136 is about 472.3873340735.

Adding to 105413136 its reverse (631314501), we get a palindrome (736727637).

The spelling of 105413136 in words is "one hundred five million, four hundred thirteen thousand, one hundred thirty-six".