105132402 has 72 divisors (see below), whose sum is σ = 243362028. Its totient is φ = 32788800.

The previous prime is 105132397. The next prime is 105132413. The reversal of 105132402 is 204231501.

It can be written as a sum of positive squares in 2 ways, for example, as 67420521 + 37711881 = 8211^2 + 6141^2 .

It is a super-2 number, since 2×105132402² = 22105643900579208, 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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580752 + ... + 580932.

Almost surely, 2^105132402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105132402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121681014).

105132402 is an abundant number, since it is smaller than the sum of its proper divisors (138229626).

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

105132402 is a wasteful number, since it uses less digits than its factorization.

105132402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105132402 is about 10253.4092866714. The cubic root of 105132402 is about 471.9676106521.

Adding to 105132402 its reverse (204231501), we get a palindrome (309363903).

Subtracting 105132402 from its reverse (204231501), we obtain a palindrome (99099099).

The spelling of 105132402 in words is "one hundred five million, one hundred thirty-two thousand, four hundred two".