105220600 has 96 divisors (see below), whose sum is σ = 256568400. Its totient is φ = 40089600.

The previous prime is 105220589. The next prime is 105220627. The reversal of 105220600 is 6022501.

105220600 = T₁₃₆ + T₁₃₇ + ... + T₈₅₈.

It is a happy number.

It is a super-2 number, since 2×105220600² = 22142749328720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436480 + ... + 436720.

Almost surely, 2^105220600 is an apocalyptic number.

105220600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105220600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128284200).

105220600 is an abundant number, since it is smaller than the sum of its proper divisors (151347800).

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

105220600 is a wasteful number, since it uses less digits than its factorization.

105220600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105220600 is about 10257.7092959393. The cubic root of 105220600 is about 472.0995552713.

The spelling of 105220600 in words is "one hundred five million, two hundred twenty thousand, six hundred".