105020600 has 96 divisors (see below), whose sum is σ = 266166000. Its totient is φ = 38384640.

The previous prime is 105020593. The next prime is 105020603. The reversal of 105020600 is 6020501.

It is a super-2 number, since 2×105020600² = 22058652848720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105020603) by changing a digit.

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, 109724 + ... + 110676.

Almost surely, 2^105020600 is an apocalyptic number.

105020600 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 105020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133083000).

105020600 is an abundant number, since it is smaller than the sum of its proper divisors (161145400).

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

105020600 is a wasteful number, since it uses less digits than its factorization.

105020600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105020600 is about 10247.9558937380. The cubic root of 105020600 is about 471.8002482352.

Subtracting from 105020600 its reverse (6020501), we obtain a palindrome (99000099).

The spelling of 105020600 in words is "one hundred five million, twenty thousand, six hundred".