105432435400 has 24 divisors (see below), whose sum is σ = 245130412770. Its totient is φ = 42172974080.

The previous prime is 105432435299. The next prime is 105432435403. The reversal of 105432435400 is 4534234501.

It can be written as a sum of positive squares in 3 ways, for example, as 54637192516 + 50795242884 = 233746^2 + 225378^2 .

It is a super-2 number, since 2×105432435400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105432435403) 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, 263580889 + ... + 263581288.

Almost surely, 2^105432435400 is an apocalyptic number.

105432435400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105432435400 is an abundant number, since it is smaller than the sum of its proper divisors (139697977370).

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

105432435400 is a wasteful number, since it uses less digits than its factorization.

105432435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527162193 (or 527162184 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 105432435400 its reverse (4534234501), we get a palindrome (109966669901).

The spelling of 105432435400 in words is "one hundred five billion, four hundred thirty-two million, four hundred thirty-five thousand, four hundred".