105480400 has 60 divisors (see below), whose sum is σ = 266773600. Its totient is φ = 39968640.

The previous prime is 105480391. The next prime is 105480433. The reversal of 105480400 is 4084501.

It is a super-2 number, since 2×105480400² = 22252229568320000, 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, 661 + ... + 14539.

Almost surely, 2^105480400 is an apocalyptic number.

105480400 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 105480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133386800).

105480400 is an abundant number, since it is smaller than the sum of its proper divisors (161293200).

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

105480400 is a wasteful number, since it uses less digits than its factorization.

105480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13916 (or 13905 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105480400 is about 10270.3651346970. The cubic root of 105480400 is about 472.4877893133.

The spelling of 105480400 in words is "one hundred five million, four hundred eighty thousand, four hundred".