105469440 has 160 divisors (see below), whose sum is σ = 348834816. Its totient is φ = 27156480.

The previous prime is 105469439. The next prime is 105469487. The reversal of 105469440 is 44964501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×105469440² = 22247605547827200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237859 + ... + 238301.

Almost surely, 2^105469440 is an apocalyptic number.

105469440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174417408).

105469440 is an abundant number, since it is smaller than the sum of its proper divisors (243365376).

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

105469440 is an equidigital number, since it uses as much as digits as its factorization.

105469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105469440 is about 10269.8315468171. The cubic root of 105469440 is about 472.4714240438.

The spelling of 105469440 in words is "one hundred five million, four hundred sixty-nine thousand, four hundred forty".