105223017700 has 36 divisors (see below), whose sum is σ = 228388858740. Its totient is φ = 42079085440.

The previous prime is 105223017677. The next prime is 105223017703. The reversal of 105223017700 is 7710322501.

It can be written as a sum of positive squares in 6 ways, for example, as 148498596 + 105074519104 = 12186^2 + 324152^2 .

It is a super-2 number, since 2×105223017700² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105223017703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298494 + ... + 547306.

It is an arithmetic number, because the mean of its divisors is an integer number (6344134965).

Almost surely, 2^105223017700 is an apocalyptic number.

105223017700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105223017700 is an abundant number, since it is smaller than the sum of its proper divisors (123165841040).

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

105223017700 is a wasteful number, since it uses less digits than its factorization.

105223017700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253056 (or 253049 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 105223017700 in words is "one hundred five billion, two hundred twenty-three million, seventeen thousand, seven hundred".