105285403400 has 48 divisors (see below), whose sum is σ = 248141865300. Its totient is φ = 41537249280.

The previous prime is 105285403397. The next prime is 105285403427. The reversal of 105285403400 is 4304582501.

It can be written as a sum of positive squares in 6 ways, for example, as 38573745604 + 66711657796 = 196402^2 + 258286^2 .

It is a super-2 number, since 2×105285403400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3591065 + ... + 3620264.

Almost surely, 2^105285403400 is an apocalyptic number.

105285403400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105285403400 is an abundant number, since it is smaller than the sum of its proper divisors (142856461900).

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

105285403400 is a wasteful number, since it uses less digits than its factorization.

105285403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211418 (or 7211409 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 105285403400 its reverse (4304582501), we get a palindrome (109589985901).

The spelling of 105285403400 in words is "one hundred five billion, two hundred eighty-five million, four hundred three thousand, four hundred".