105951240801 has 96 divisors (see below), whose sum is σ = 187158386688. Its totient is φ = 56453760000.

The previous prime is 105951240757. The next prime is 105951240833. The reversal of 105951240801 is 108042159501.

105951240801 is a `hidden beast` number, since 10 + 59 + 512 + 4 + 0 + 80 + 1 = 666.

It is not a de Polignac number, because 105951240801 - 2⁷ = 105951240673 is a prime.

It is a super-2 number, since 2×105951240801² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105951240851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9411426 + ... + 9422676.

It is an arithmetic number, because the mean of its divisors is an integer number (1949566528).

Almost surely, 2^105951240801 is an apocalyptic number.

It is an amenable number.

105951240801 is a deficient number, since it is larger than the sum of its proper divisors (81207145887).

105951240801 is a wasteful number, since it uses less digits than its factorization.

105951240801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11448 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 105951240801 in words is "one hundred five billion, nine hundred fifty-one million, two hundred forty thousand, eight hundred one".