105602130 has 80 divisors (see below), whose sum is σ = 300694680. Its totient is φ = 26500608.

The previous prime is 105602099. The next prime is 105602173. The reversal of 105602130 is 31206501.

It can be written as a sum of positive squares in 4 ways, for example, as 105452361 + 149769 = 10269^2 + 387^2 .

It is a super-2 number, since 2×105602130² = 22303619721073800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 9936 + ... + 17604.

Almost surely, 2^105602130 is an apocalyptic number.

105602130 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 105602130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150347340).

105602130 is an abundant number, since it is smaller than the sum of its proper divisors (195092550).

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

105602130 is a wasteful number, since it uses less digits than its factorization.

105602130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105602130 is about 10276.2897000814. The cubic root of 105602130 is about 472.6694781303.

Adding to 105602130 its reverse (31206501), we get a palindrome (136808631).

The spelling of 105602130 in words is "one hundred five million, six hundred two thousand, one hundred thirty".