100105083733345 has 8 divisors (see below), whose sum is σ = 120128815521000. Its totient is φ = 80082256959360.

The previous prime is 100105083733337. The next prime is 100105083733357. The reversal of 100105083733345 is 543337380501001.

It can be written as a sum of positive squares in 4 ways, for example, as 2868267411216 + 97236816322129 = 1693596^2 + 9860873^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100105083733345 - 2³ = 100105083733337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226010046 + ... + 226452535.

It is an arithmetic number, because the mean of its divisors is an integer number (15016101940125).

Almost surely, 2^{100105083733345} is an apocalyptic number.

It is an amenable number.

100105083733345 is a deficient number, since it is larger than the sum of its proper divisors (20023731787655).

100105083733345 is an equidigital number, since it uses as much as digits as its factorization.

100105083733345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452506835.

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 100105083733345 in words is "one hundred trillion, one hundred five billion, eighty-three million, seven hundred thirty-three thousand, three hundred forty-five".