105012400 has 60 divisors (see below), whose sum is σ = 267150312. Its totient is φ = 39531520.

The previous prime is 105012377. The next prime is 105012403. The reversal of 105012400 is 4210501.

It is a super-2 number, since 2×105012400² = 22055208307520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105012403) 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, 922 + ... + 14521.

Almost surely, 2^105012400 is an apocalyptic number.

105012400 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 105012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133575156).

105012400 is an abundant number, since it is smaller than the sum of its proper divisors (162137912).

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

105012400 is a wasteful number, since it uses less digits than its factorization.

105012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15478 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105012400 is about 10247.5558061423. Note that the first 3 decimals coincide. The cubic root of 105012400 is about 471.7879685404.

Adding to 105012400 its reverse (4210501), we get a palindrome (109222901).

The spelling of 105012400 in words is "one hundred five million, twelve thousand, four hundred".