105600990 has 64 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 25328640.

The previous prime is 105600899. The next prime is 105601003. The reversal of 105600990 is 99006501.

It is a super-2 number, since 2×105600990² = 22303138177960200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 30361 + ... + 33659.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^105600990 is an apocalyptic number.

105600990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105600990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

105600990 is an abundant number, since it is smaller than the sum of its proper divisors (173816610).

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

105600990 is a wasteful number, since it uses less digits than its factorization.

105600990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 105600990 is about 10276.2342324414. The cubic root of 105600990 is about 472.6677772646.

The spelling of 105600990 in words is "one hundred five million, six hundred thousand, nine hundred ninety".