105540400 has 60 divisors (see below), whose sum is σ = 289791472. Its totient is φ = 36184320.

The previous prime is 105540389. The next prime is 105540433. The reversal of 105540400 is 4045501.

It is a super-2 number, since 2×105540400² = 22277552064320000, which contains 22 as substring.

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, 16047 + ... + 21646.

Almost surely, 2^105540400 is an apocalyptic number.

105540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105540400 is an abundant number, since it is smaller than the sum of its proper divisors (184251072).

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

105540400 is a wasteful number, since it uses less digits than its factorization.

105540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37718 (or 37707 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 105540400 is about 10273.2857450769. The cubic root of 105540400 is about 472.5773601208.

Adding to 105540400 its reverse (4045501), we get a palindrome (109585901).

The spelling of 105540400 in words is "one hundred five million, five hundred forty thousand, four hundred".