105220210536 has 48 divisors (see below), whose sum is σ = 325681605600. Its totient is φ = 30062917152.

The previous prime is 105220210517. The next prime is 105220210609. The reversal of 105220210536 is 635012022501.

It is a happy number.

105220210536 is a `hidden beast` number, since 1 + 0 + 522 + 0 + 2 + 105 + 36 = 666.

It is a super-2 number, since 2×105220210536² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104384626 + ... + 104385633.

It is an arithmetic number, because the mean of its divisors is an integer number (6785033450).

Almost surely, 2^105220210536 is an apocalyptic number.

It is an amenable number.

105220210536 is an abundant number, since it is smaller than the sum of its proper divisors (220461395064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105220210536 is a wasteful number, since it uses less digits than its factorization.

105220210536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208770278 (or 208770271 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 105220210536 in words is "one hundred five billion, two hundred twenty million, two hundred ten thousand, five hundred thirty-six".