105872842380 has 96 divisors (see below), whose sum is σ = 319311433728. Its totient is φ = 26134099200.

The previous prime is 105872842373. The next prime is 105872842381. The reversal of 105872842380 is 83248278501.

It is a super-2 number, since 2×105872842380² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105872842381) by changing a digit.

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, 1194631 + ... + 1280190.

It is an arithmetic number, because the mean of its divisors is an integer number (3326160768).

Almost surely, 2^105872842380 is an apocalyptic number.

105872842380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105872842380 is an abundant number, since it is smaller than the sum of its proper divisors (213438591348).

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

105872842380 is a wasteful number, since it uses less digits than its factorization.

105872842380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474887 (or 2474885 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 105872842380 in words is "one hundred five billion, eight hundred seventy-two million, eight hundred forty-two thousand, three hundred eighty".