105312891903 has 16 divisors (see below), whose sum is σ = 143730550656. Its totient is φ = 68553001440.

The previous prime is 105312891889. The next prime is 105312891917. The reversal of 105312891903 is 309198213501.

It is an interprime number because it is at equal distance from previous prime (105312891889) and next prime (105312891917).

It is not a de Polignac number, because 105312891903 - 2²⁶ = 105245783039 is a prime.

It is a super-2 number, since 2×105312891903² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105312821903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257368 + ... + 526178.

It is an arithmetic number, because the mean of its divisors is an integer number (8983159416).

Almost surely, 2^105312891903 is an apocalyptic number.

105312891903 is a deficient number, since it is larger than the sum of its proper divisors (38417658753).

105312891903 is a wasteful number, since it uses less digits than its factorization.

105312891903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271894.

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 105312891903 in words is "one hundred five billion, three hundred twelve million, eight hundred ninety-one thousand, nine hundred three".