105130400 has 36 divisors (see below), whose sum is σ = 256651542. Its totient is φ = 42051840.

The previous prime is 105130379. The next prime is 105130409. The reversal of 105130400 is 4031501.

It can be written as a sum of positive squares in 3 ways, for example, as 95961616 + 9168784 = 9796^2 + 3028^2 .

It is a super-2 number, since 2×105130400² = 22104802008320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105130409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64907 + ... + 66506.

Almost surely, 2^105130400 is an apocalyptic number.

105130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105130400 is an abundant number, since it is smaller than the sum of its proper divisors (151521142).

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

105130400 is a wasteful number, since it uses less digits than its factorization.

105130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131433 (or 131420 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105130400 is about 10253.3116601418. The cubic root of 105130400 is about 471.9646147944.

Adding to 105130400 its reverse (4031501), we get a palindrome (109161901).

The spelling of 105130400 in words is "one hundred five million, one hundred thirty thousand, four hundred".