105369472 has 48 divisors (see below), whose sum is σ = 227351880. Its totient is φ = 48622080.

The previous prime is 105369431. The next prime is 105369521. The reversal of 105369472 is 274963501.

It is a super-2 number, since 2×105369472² = 22205451259117568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19197 + ... + 24067.

Almost surely, 2^105369472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113675940).

105369472 is an abundant number, since it is smaller than the sum of its proper divisors (121982408).

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

105369472 is an equidigital number, since it uses as much as digits as its factorization.

105369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 105369472 is about 10264.9633219023. The cubic root of 105369472 is about 472.3221013143.

The spelling of 105369472 in words is "one hundred five million, three hundred sixty-nine thousand, four hundred seventy-two".