105200100132 has 24 divisors (see below), whose sum is σ = 245483903616. Its totient is φ = 35064271008.

The previous prime is 105200100119. The next prime is 105200100139. The reversal of 105200100132 is 231001002501.

It is a super-2 number, since 2×105200100132² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105200100139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118668 + ... + 473795.

It is an arithmetic number, because the mean of its divisors is an integer number (10228495984).

Almost surely, 2^105200100132 is an apocalyptic number.

105200100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105200100132 is an abundant number, since it is smaller than the sum of its proper divisors (140283803484).

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

105200100132 is a wasteful number, since it uses less digits than its factorization.

105200100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607267 (or 607265 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 105200100132 its reverse (231001002501), we get a palindrome (336201102633).

The spelling of 105200100132 in words is "one hundred five billion, two hundred million, one hundred thousand, one hundred thirty-two".