105071903999 has 8 divisors (see below), whose sum is σ = 106756072560. Its totient is φ = 103398926400.

The previous prime is 105071903953. The next prime is 105071904001. The reversal of 105071903999 is 999309170501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105071903999 - 2²⁸ = 104803468543 is a prime.

It is a super-2 number, since 2×105071903999² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105071903999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071963999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2778812 + ... + 2816369.

It is an arithmetic number, because the mean of its divisors is an integer number (13344509070).

Almost surely, 2^105071903999 is an apocalyptic number.

105071903999 is a deficient number, since it is larger than the sum of its proper divisors (1684168561).

105071903999 is an equidigital number, since it uses as much as digits as its factorization.

105071903999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595481.

The product of its (nonzero) digits is 688905, while the sum is 53.

The spelling of 105071903999 in words is "one hundred five billion, seventy-one million, nine hundred three thousand, nine hundred ninety-nine".