105412400 has 60 divisors (see below), whose sum is σ = 261453504. Its totient is φ = 40800000.

The previous prime is 105412397. The next prime is 105412423. The reversal of 105412400 is 4214501.

It is a super-2 number, since 2×105412400² = 22223548147520000, which contains 22 as substring.

It is a nialpdrome in base 14.

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, 8150 + ... + 16650.

Almost surely, 2^105412400 is an apocalyptic number.

105412400 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 105412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130726752).

105412400 is an abundant number, since it is smaller than the sum of its proper divisors (156041104).

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

105412400 is a wasteful number, since it uses less digits than its factorization.

105412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 105412400 is about 10267.0541052436. The cubic root of 105412400 is about 472.3862346600.

Adding to 105412400 its reverse (4214501), we get a palindrome (109626901).

The spelling of 105412400 in words is "one hundred five million, four hundred twelve thousand, four hundred".