105122400 has 72 divisors (see below), whose sum is σ = 342181224. Its totient is φ = 28032000.

The previous prime is 105122371. The next prime is 105122411. The reversal of 105122400 is 4221501.

It is a super-2 number, since 2×105122400² = 22101437963520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105122400.

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, 19501 + ... + 24300.

It is an arithmetic number, because the mean of its divisors is an integer number (4752517).

Almost surely, 2^105122400 is an apocalyptic number.

105122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105122400 is an abundant number, since it is smaller than the sum of its proper divisors (237058824).

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

105122400 is a wasteful number, since it uses less digits than its factorization.

105122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43824 (or 43811 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105122400 is about 10252.9215348602. The cubic root of 105122400 is about 471.9526429553.

Adding to 105122400 its reverse (4221501), we get a palindrome (109343901).

The spelling of 105122400 in words is "one hundred five million, one hundred twenty-two thousand, four hundred".