105951294241 has 32 divisors (see below), whose sum is σ = 126964430208. Its totient is φ = 87477304320.

The previous prime is 105951294209. The next prime is 105951294247. The reversal of 105951294241 is 142492159501.

It is a cyclic number.

It is not a de Polignac number, because 105951294241 - 2⁵ = 105951294209 is a prime.

It is a super-2 number, since 2×105951294241² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105951294247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200946 + ... + 502276.

It is an arithmetic number, because the mean of its divisors is an integer number (3967638444).

Almost surely, 2^105951294241 is an apocalyptic number.

It is an amenable number.

105951294241 is a deficient number, since it is larger than the sum of its proper divisors (21013135967).

105951294241 is a wasteful number, since it uses less digits than its factorization.

105951294241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301441.

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 105951294241 in words is "one hundred five billion, nine hundred fifty-one million, two hundred ninety-four thousand, two hundred forty-one".