105050431400 has 48 divisors (see below), whose sum is σ = 244369506300. Its totient is φ = 41998279680.

The previous prime is 105050431379. The next prime is 105050431417. The reversal of 105050431400 is 4134050501.

It can be written as a sum of positive squares in 6 ways, for example, as 13482460996 + 91567970404 = 116114^2 + 302602^2 .

It is a super-3 number, since 3×105050431400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 250736 + ... + 522464.

Almost surely, 2^105050431400 is an apocalyptic number.

105050431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105050431400 is an abundant number, since it is smaller than the sum of its proper divisors (139319074900).

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

105050431400 is a wasteful number, since it uses less digits than its factorization.

105050431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273678 (or 273669 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 105050431400 its reverse (4134050501), we get a palindrome (109184481901).

The spelling of 105050431400 in words is "one hundred five billion, fifty million, four hundred thirty-one thousand, four hundred".