103726320031700 has 72 divisors (see below), whose sum is σ = 225969766743672. Its totient is φ = 41327654010880.

The previous prime is 103726320031637. The next prime is 103726320031709. The reversal of 103726320031700 is 7130023627301.

It can be written as a sum of positive squares in 12 ways, for example, as 50776626595984 + 52949693435716 = 7125772^2 + 7276654^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103726320031709) 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, 1045863314 + ... + 1045962486.

It is an arithmetic number, because the mean of its divisors is an integer number (3138468982551).

Almost surely, 2^{103726320031700} is an apocalyptic number.

103726320031700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103726320031700 is an abundant number, since it is smaller than the sum of its proper divisors (122243446711972).

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

103726320031700 is a wasteful number, since it uses less digits than its factorization.

103726320031700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140141 (or 140134 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The spelling of 103726320031700 in words is "one hundred three trillion, seven hundred twenty-six billion, three hundred twenty million, thirty-one thousand, seven hundred".