105413644 has 12 divisors (see below), whose sum is σ = 210827344. Its totient is φ = 45177264.

The previous prime is 105413603. The next prime is 105413663. The reversal of 105413644 is 446314501.

105413644 is an admirable number.

It is a super-2 number, since 2×105413644² = 22224072682717472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3764773 = 105413644 / (1 + 0 + 5 + 4 + 1 + 3 + 6 + 4 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1882359 + ... + 1882414.

Almost surely, 2^105413644 is an apocalyptic number.

105413644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105413644 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105413644 is a wasteful number, since it uses less digits than its factorization.

105413644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764784 (or 3764782 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 105413644 is about 10267.1146871943. The cubic root of 105413644 is about 472.3880929049.

The spelling of 105413644 in words is "one hundred five million, four hundred thirteen thousand, six hundred forty-four".