105444524001630 has 128 divisors (see below), whose sum is σ = 288197655699456. Its totient is φ = 24440587459200.

The previous prime is 105444524001629. The next prime is 105444524001647. The reversal of 105444524001630 is 36100425444501.

It is a super-2 number, since 2×105444524001630² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15066207 + ... + 20925573.

It is an arithmetic number, because the mean of its divisors is an integer number (2251544185152).

Almost surely, 2^{105444524001630} is an apocalyptic number.

105444524001630 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 105444524001630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144098827849728).

105444524001630 is an abundant number, since it is smaller than the sum of its proper divisors (182753131697826).

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

105444524001630 is a wasteful number, since it uses less digits than its factorization.

105444524001630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861782.

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 105444524001630 in words is "one hundred five trillion, four hundred forty-four billion, five hundred twenty-four million, one thousand, six hundred thirty".