105100605500999 has 2 divisors, whose sum is σ = 105100605501000. Its totient is φ = 105100605500998.

The previous prime is 105100605500953. The next prime is 105100605501037. The reversal of 105100605500999 is 999005506001501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105100605500999 - 2²⁰ = 105100604452423 is a prime.

It is a super-2 number, since 2×105100605500999² (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 (105100604500999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550302750499 + 52550302750500.

It is an arithmetic number, because the mean of its divisors is an integer number (52550302750500).

Almost surely, 2^{105100605500999} is an apocalyptic number.

105100605500999 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100605500999 is an equidigital number, since it uses as much as digits as its factorization.

105100605500999 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 546750, while the sum is 50.

The spelling of 105100605500999 in words is "one hundred five trillion, one hundred billion, six hundred five million, five hundred thousand, nine hundred ninety-nine".