105512663400 has 48 divisors (see below), whose sum is σ = 327089258400. Its totient is φ = 28136710080.

The previous prime is 105512663363. The next prime is 105512663401. The reversal of 105512663400 is 4366215501.

It is a super-2 number, since 2×105512663400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105512663401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87926620 + ... + 87927819.

It is an arithmetic number, because the mean of its divisors is an integer number (6814359550).

Almost surely, 2^105512663400 is an apocalyptic number.

105512663400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105512663400 is an abundant number, since it is smaller than the sum of its proper divisors (221576595000).

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

105512663400 is a wasteful number, since it uses less digits than its factorization.

105512663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175854458 (or 175854449 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 105512663400 its reverse (4366215501), we get a palindrome (109878878901).

The spelling of 105512663400 in words is "one hundred five billion, five hundred twelve million, six hundred sixty-three thousand, four hundred".