105014230400 has 48 divisors (see below), whose sum is σ = 259417973940. Its totient is φ = 42005690880.

The previous prime is 105014230393. The next prime is 105014230423. The reversal of 105014230400 is 4032410501.

It is a super-2 number, since 2×105014230400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16405274 + ... + 16411673.

Almost surely, 2^105014230400 is an apocalyptic number.

105014230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105014230400 is an abundant number, since it is smaller than the sum of its proper divisors (154403743540).

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

105014230400 is an equidigital number, since it uses as much as digits as its factorization.

105014230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32816971 (or 32816954 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 105014230400 its reverse (4032410501), we get a palindrome (109046640901).

The spelling of 105014230400 in words is "one hundred five billion, fourteen million, two hundred thirty thousand, four hundred".