105165456 has 120 divisors (see below), whose sum is σ = 314667360. Its totient is φ = 30159360.

The previous prime is 105165449. The next prime is 105165457. The reversal of 105165456 is 654561501.

It is a super-2 number, since 2×105165456² = 22119546271375872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105165457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109876 + ... + 110828.

It is an arithmetic number, because the mean of its divisors is an integer number (2622228).

Almost surely, 2^105165456 is an apocalyptic number.

105165456 is a gapful number since it is divisible by the number (16) 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 105165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157333680).

105165456 is an abundant number, since it is smaller than the sum of its proper divisors (209501904).

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

105165456 is a wasteful number, since it uses less digits than its factorization.

105165456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 105165456 is about 10255.0210141179. The cubic root of 105165456 is about 472.0170682327.

It can be divided in two parts, 105 and 165456, that added together give a palindrome (165561).

The spelling of 105165456 in words is "one hundred five million, one hundred sixty-five thousand, four hundred fifty-six".