105254400 has 120 divisors (see below), whose sum is σ = 347828184. Its totient is φ = 28057600.

The previous prime is 105254389. The next prime is 105254419. The reversal of 105254400 is 4452501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105254400² = 22156977438720000, 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 11 ways as a sum of consecutive naturals, for example, 37030 + ... + 39770.

Almost surely, 2^105254400 is an apocalyptic number.

105254400 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 105254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173914092).

105254400 is an abundant number, since it is smaller than the sum of its proper divisors (242573784).

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

105254400 is an equidigital number, since it uses as much as digits as its factorization.

105254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105254400 is about 10259.3567049791. The cubic root of 105254400 is about 472.1501006862.

The spelling of 105254400 in words is "one hundred five million, two hundred fifty-four thousand, four hundred".