105500400 has 60 divisors (see below), whose sum is σ = 337956792. Its totient is φ = 28133120.

The previous prime is 105500377. The next prime is 105500441. The reversal of 105500400 is 4005501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105500400² = 22260668800320000, 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 105500400.

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, 42759 + ... + 45158.

Almost surely, 2^105500400 is an apocalyptic number.

105500400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105500400 is an abundant number, since it is smaller than the sum of its proper divisors (232456392).

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

105500400 is a wasteful number, since it uses less digits than its factorization.

105500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87938 (or 87927 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105500400 is about 10271.3387637640. The cubic root of 105500400 is about 472.5176500224.

Adding to 105500400 its reverse (4005501), we get a palindrome (109505901).

The spelling of 105500400 in words is "one hundred five million, five hundred thousand, four hundred".