105126181700 has 72 divisors (see below), whose sum is σ = 229982467680. Its totient is φ = 41708908800.

The previous prime is 105126181691. The next prime is 105126181703. The reversal of 105126181700 is 7181621501.

It is a super-2 number, since 2×105126181700² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105126181703) 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, 8486111 + ... + 8498489.

It is an arithmetic number, because the mean of its divisors is an integer number (3194200940).

Almost surely, 2^105126181700 is an apocalyptic number.

105126181700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105126181700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114991233840).

105126181700 is an abundant number, since it is smaller than the sum of its proper divisors (124856285980).

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

105126181700 is a wasteful number, since it uses less digits than its factorization.

105126181700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13077 (or 13070 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 32.

The spelling of 105126181700 in words is "one hundred five billion, one hundred twenty-six million, one hundred eighty-one thousand, seven hundred".