105542400 has 216 divisors, whose sum is σ = 364976640. Its totient is φ = 26808320.

The previous prime is 105542387. The next prime is 105542413. The reversal of 105542400 is 4245501.

It is an interprime number because it is at equal distance from previous prime (105542387) and next prime (105542413).

It is a super-2 number, since 2×105542400² = 22278396395520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441481 + ... + 441719.

Almost surely, 2^105542400 is an apocalyptic number.

105542400 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 105542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

105542400 is an abundant number, since it is smaller than the sum of its proper divisors (259434240).

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

105542400 is a wasteful number, since it uses less digits than its factorization.

105542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105542400 is about 10273.3830844566. The cubic root of 105542400 is about 472.5803452296.

Adding to 105542400 its reverse (4245501), we get a palindrome (109787901).

The spelling of 105542400 in words is "one hundred five million, five hundred forty-two thousand, four hundred".