105257774821 has 8 divisors (see below), whose sum is σ = 115044551424. Its totient is φ = 95870458560.

The previous prime is 105257774723. The next prime is 105257774837. The reversal of 105257774821 is 128477752501.

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

It is a cyclic number.

It is not a de Polignac number, because 105257774821 - 2⁷ = 105257774693 is a prime.

It is a super-2 number, since 2×105257774821² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105257774521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99864535 + ... + 99865588.

It is an arithmetic number, because the mean of its divisors is an integer number (14380568928).

Almost surely, 2^105257774821 is an apocalyptic number.

It is an amenable number.

105257774821 is a deficient number, since it is larger than the sum of its proper divisors (9786776603).

105257774821 is a wasteful number, since it uses less digits than its factorization.

105257774821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199730171.

The product of its (nonzero) digits is 1097600, while the sum is 49.

The spelling of 105257774821 in words is "one hundred five billion, two hundred fifty-seven million, seven hundred seventy-four thousand, eight hundred twenty-one".