105253440 has 56 divisors (see below), whose sum is σ = 334182720. Its totient is φ = 28067328.

The previous prime is 105253433. The next prime is 105253457. The reversal of 105253440 is 44352501.

It is a super-3 number, since 3×105253440³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105253440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53860 + ... + 55779.

Almost surely, 2^105253440 is an apocalyptic number.

105253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105253440 is an abundant number, since it is smaller than the sum of its proper divisors (228929280).

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

105253440 is a wasteful number, since it uses less digits than its factorization.

105253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109659 (or 109649 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105253440 is about 10259.3099183132. The cubic root of 105253440 is about 472.1486652261.

The spelling of 105253440 in words is "one hundred five million, two hundred fifty-three thousand, four hundred forty".