105312400 has 60 divisors (see below), whose sum is σ = 264036672. Its totient is φ = 40289920.

The previous prime is 105312391. The next prime is 105312401. The reversal of 105312400 is 4213501.

It is a super-2 number, since 2×105312400² = 22181403187520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (105312401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3477 + ... + 14923.

Almost surely, 2^105312400 is an apocalyptic number.

105312400 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 105312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132018336).

105312400 is an abundant number, since it is smaller than the sum of its proper divisors (158724272).

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

105312400 is a wasteful number, since it uses less digits than its factorization.

105312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105312400 is about 10262.1830036304. The cubic root of 105312400 is about 472.2368102119.

Adding to 105312400 its reverse (4213501), we get a palindrome (109525901).

The spelling of 105312400 in words is "one hundred five million, three hundred twelve thousand, four hundred".