105044532405 has 64 divisors (see below), whose sum is σ = 171619430400. Its totient is φ = 54855820800.

The previous prime is 105044532361. The next prime is 105044532421. The reversal of 105044532405 is 504235440501.

It is not a de Polignac number, because 105044532405 - 2²⁹ = 104507661493 is a prime.

It is a super-2 number, since 2×105044532405² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88495222 + ... + 88496408.

It is an arithmetic number, because the mean of its divisors is an integer number (2681553600).

Almost surely, 2^105044532405 is an apocalyptic number.

105044532405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105044532405 is a deficient number, since it is larger than the sum of its proper divisors (66574897995).

105044532405 is a wasteful number, since it uses less digits than its factorization.

105044532405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 105044532405 its reverse (504235440501), we get a palindrome (609279972906).

The spelling of 105044532405 in words is "one hundred five billion, forty-four million, five hundred thirty-two thousand, four hundred five".