100105500542309 has 2 divisors, whose sum is σ = 100105500542310. Its totient is φ = 100105500542308.

The previous prime is 100105500542261. The next prime is 100105500542329. The reversal of 100105500542309 is 903245005501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55878943949284 + 44226556593025 = 7475222^2 + 6650305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105500542309 is a prime.

It is a super-2 number, since 2×100105500542309² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105500542329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750271154 + 50052750271155.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750271155).

Almost surely, 2^{100105500542309} is an apocalyptic number.

It is an amenable number.

100105500542309 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500542309 is an equidigital number, since it uses as much as digits as its factorization.

100105500542309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 100105500542309 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred forty-two thousand, three hundred nine".