105972292046 has 16 divisors (see below), whose sum is σ = 171889978176. Its totient is φ = 48808263936.

The previous prime is 105972292039. The next prime is 105972292051. The reversal of 105972292046 is 640292279501.

It is a happy number.

It is a super-2 number, since 2×105972292046² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 33156191 + ... + 33159386.

It is an arithmetic number, because the mean of its divisors is an integer number (10743123636).

Almost surely, 2^105972292046 is an apocalyptic number.

105972292046 is a deficient number, since it is larger than the sum of its proper divisors (65917686130).

105972292046 is a wasteful number, since it uses less digits than its factorization.

105972292046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66315643.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 105972292046 in words is "one hundred five billion, nine hundred seventy-two million, two hundred ninety-two thousand, forty-six".