105442663400 has 48 divisors (see below), whose sum is σ = 245191365900. Its totient is φ = 42170670080.

The previous prime is 105442663379. The next prime is 105442663423. The reversal of 105442663400 is 4366244501.

It can be written as a sum of positive squares in 6 ways, for example, as 26041567876 + 79401095524 = 161374^2 + 281782^2 .

It is a super-2 number, since 2×105442663400² (a number of 23 digits) contains 22 as substring.

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, 1414256 + ... + 1486944.

Almost surely, 2^105442663400 is an apocalyptic number.

105442663400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105442663400 is an abundant number, since it is smaller than the sum of its proper divisors (139748702500).

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

105442663400 is a wasteful number, since it uses less digits than its factorization.

105442663400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79958 (or 79949 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 105442663400 in words is "one hundred five billion, four hundred forty-two million, six hundred sixty-three thousand, four hundred".