105221301136 has 40 divisors (see below), whose sum is σ = 237947270400. Its totient is φ = 44135376384.

The previous prime is 105221301131. The next prime is 105221301167. The reversal of 105221301136 is 631103122501.

It is a happy number.

It is a super-2 number, since 2×105221301136² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105221301136.

It is not an unprimeable number, because it can be changed into a prime (105221301131) 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, 9989161 + ... + 9999688.

It is an arithmetic number, because the mean of its divisors is an integer number (5948681760).

Almost surely, 2^105221301136 is an apocalyptic number.

105221301136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105221301136 is an abundant number, since it is smaller than the sum of its proper divisors (132725969264).

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

105221301136 is a wasteful number, since it uses less digits than its factorization.

105221301136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19988911 (or 19988905 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 105221301136 its reverse (631103122501), we get a palindrome (736324423637).

The spelling of 105221301136 in words is "one hundred five billion, two hundred twenty-one million, three hundred one thousand, one hundred thirty-six".