105112400 has 30 divisors (see below), whose sum is σ = 252533502. Its totient is φ = 42044800.

The previous prime is 105112373. The next prime is 105112433. The reversal of 105112400 is 4211501.

It can be written as a sum of positive squares in 3 ways, for example, as 10010896 + 95101504 = 3164^2 + 9752^2 .

It is a super-2 number, since 2×105112400² = 22097233267520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130991 + ... + 131790.

Almost surely, 2^105112400 is an apocalyptic number.

105112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112400 is an abundant number, since it is smaller than the sum of its proper divisors (147421102).

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

105112400 is a wasteful number, since it uses less digits than its factorization.

105112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262799 (or 262788 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105112400 is about 10252.4338573824. The cubic root of 105112400 is about 471.9376773023.

Adding to 105112400 its reverse (4211501), we get a palindrome (109323901).

The spelling of 105112400 in words is "one hundred five million, one hundred twelve thousand, four hundred".