105112334100 has 36 divisors (see below), whose sum is σ = 304125020864. Its totient is φ = 28029955680.

The previous prime is 105112334087. The next prime is 105112334101. The reversal of 105112334100 is 1433211501.

It is a super-2 number, since 2×105112334100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105112334101) 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, 175186924 + ... + 175187523.

Almost surely, 2^105112334100 is an apocalyptic number.

105112334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112334100 is an abundant number, since it is smaller than the sum of its proper divisors (199012686764).

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

105112334100 is a wasteful number, since it uses less digits than its factorization.

105112334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350374464 (or 350374457 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 105112334100 its reverse (1433211501), we get a palindrome (106545545601).

The spelling of 105112334100 in words is "one hundred five billion, one hundred twelve million, three hundred thirty-four thousand, one hundred".