105972292045 has 8 divisors (see below), whose sum is σ = 133859737440. Its totient is φ = 80315842320.

The previous prime is 105972292039. The next prime is 105972292051. The reversal of 105972292045 is 540292279501.

It is an interprime number because it is at equal distance from previous prime (105972292039) and next prime (105972292051).

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

It is not a de Polignac number, because 105972292045 - 2⁹ = 105972291533 is a prime.

It is a super-2 number, since 2×105972292045² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105972291986 and 105972292004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557748811 + ... + 557749000.

It is an arithmetic number, because the mean of its divisors is an integer number (16732467180).

Almost surely, 2^105972292045 is an apocalyptic number.

It is an amenable number.

105972292045 is a deficient number, since it is larger than the sum of its proper divisors (27887445395).

105972292045 is a wasteful number, since it uses less digits than its factorization.

105972292045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115497835.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 105972292045 in words is "one hundred five billion, nine hundred seventy-two million, two hundred ninety-two thousand, forty-five".