105100050051100 has 72 divisors (see below), whose sum is σ = 245721324752288. Its totient is φ = 38788698873600.

The previous prime is 105100050051089. The next prime is 105100050051109. The reversal of 105100050051100 is 1150050001501.

It is a happy number.

It is a super-2 number, since 2×105100050051100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100050051109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15313104 + ... + 21087703.

Almost surely, 2^{105100050051100} is an apocalyptic number.

105100050051100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105100050051100 is an abundant number, since it is smaller than the sum of its proper divisors (140621274701188).

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

105100050051100 is a wasteful number, since it uses less digits than its factorization.

105100050051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36403055 (or 36403048 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 105100050051100 in words is "one hundred five trillion, one hundred billion, fifty million, fifty-one thousand, one hundred".