105486400 has 42 divisors (see below), whose sum is σ = 259566410. Its totient is φ = 42193920.

The previous prime is 105486389. The next prime is 105486413. The reversal of 105486400 is 4684501.

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 102900736 = 1608^2 + 10144^2 .

It is a super-2 number, since 2×105486400² = 22254761169920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31365 + ... + 34564.

Almost surely, 2^105486400 is an apocalyptic number.

105486400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105486400 is an abundant number, since it is smaller than the sum of its proper divisors (154080010).

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

105486400 is an equidigital number, since it uses as much as digits as its factorization.

105486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65951 (or 65936 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 105486400 is about 10270.6572331083. The cubic root of 105486400 is about 472.4967479223.

The spelling of 105486400 in words is "one hundred five million, four hundred eighty-six thousand, four hundred".