105645246133 has 32 divisors (see below), whose sum is σ = 127163312640. Its totient is φ = 85810855680.

The previous prime is 105645246107. The next prime is 105645246137. The reversal of 105645246133 is 331642546501.

It is a cyclic number.

It is not a de Polignac number, because 105645246133 - 2⁵ = 105645246101 is a prime.

It is a super-2 number, since 2×105645246133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105645246137) 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, 7832191 + ... + 7845667.

It is an arithmetic number, because the mean of its divisors is an integer number (3973853520).

Almost surely, 2^105645246133 is an apocalyptic number.

It is an amenable number.

105645246133 is a deficient number, since it is larger than the sum of its proper divisors (21518066507).

105645246133 is a wasteful number, since it uses less digits than its factorization.

105645246133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957.

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 105645246133 in words is "one hundred five billion, six hundred forty-five million, two hundred forty-six thousand, one hundred thirty-three".