105601207220 has 24 divisors (see below), whose sum is σ = 221855773608. Its totient is φ = 42222723200.

The previous prime is 105601207219. The next prime is 105601207253. The reversal of 105601207220 is 22702106501.

105601207220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2705248144 + 102895959076 = 52012^2 + 320774^2 .

It is a super-2 number, since 2×105601207220² (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 105601207220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061171 + ... + 1156410.

It is an arithmetic number, because the mean of its divisors is an integer number (9243990567).

Almost surely, 2^105601207220 is an apocalyptic number.

105601207220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105601207220 is an abundant number, since it is smaller than the sum of its proper divisors (116254566388).

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

105601207220 is a wasteful number, since it uses less digits than its factorization.

105601207220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219971 (or 2219969 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 105601207220 in words is "one hundred five billion, six hundred one million, two hundred seven thousand, two hundred twenty".