105162288945 has 16 divisors (see below), whose sum is σ = 192296757120. Its totient is φ = 48074189184.

The previous prime is 105162288919. The next prime is 105162288989. The reversal of 105162288945 is 549882261501.

It is not a de Polignac number, because 105162288945 - 2²⁰ = 105161240369 is a prime.

It is a super-2 number, since 2×105162288945² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500772700 + ... + 500772909.

It is an arithmetic number, because the mean of its divisors is an integer number (12018547320).

Almost surely, 2^105162288945 is an apocalyptic number.

105162288945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105162288945 is a deficient number, since it is larger than the sum of its proper divisors (87134468175).

105162288945 is a wasteful number, since it uses less digits than its factorization.

105162288945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001545624.

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 105162288945 in words is "one hundred five billion, one hundred sixty-two million, two hundred eighty-eight thousand, nine hundred forty-five".