105404132010 has 64 divisors (see below), whose sum is σ = 255897584640. Its totient is φ = 27782684160.

The previous prime is 105404131999. The next prime is 105404132023. The reversal of 105404132010 is 10231404501.

It is a super-2 number, since 2×105404132010² (a number of 23 digits) contains 22 as substring.

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, 12333799 + ... + 12342341.

It is an arithmetic number, because the mean of its divisors is an integer number (3998399760).

Almost surely, 2^105404132010 is an apocalyptic number.

105404132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105404132010 is an abundant number, since it is smaller than the sum of its proper divisors (150493452630).

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

105404132010 is a wasteful number, since it uses less digits than its factorization.

105404132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13263.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 105404132010 its reverse (10231404501), we get a palindrome (115635536511).

The spelling of 105404132010 in words is "one hundred five billion, four hundred four million, one hundred thirty-two thousand, ten".