100181238705 has 12 divisors (see below), whose sum is σ = 173647480500. Its totient is φ = 53429993952.

The previous prime is 100181238701. The next prime is 100181238733. The reversal of 100181238705 is 507832181001.

It can be written as a sum of positive squares in 2 ways, for example, as 12802469904 + 87378768801 = 113148^2 + 295599^2 .

It is not a de Polignac number, because 100181238705 - 2² = 100181238701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100181238705.

It is not an unprimeable number, because it can be changed into a prime (100181238701) 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, 1113124830 + ... + 1113124919.

It is an arithmetic number, because the mean of its divisors is an integer number (14470623375).

Almost surely, 2^100181238705 is an apocalyptic number.

100181238705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100181238705 is a deficient number, since it is larger than the sum of its proper divisors (73466241795).

100181238705 is a wasteful number, since it uses less digits than its factorization.

100181238705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226249760 (or 2226249757 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 100181238705 in words is "one hundred billion, one hundred eighty-one million, two hundred thirty-eight thousand, seven hundred five".