105827583694 has 48 divisors (see below), whose sum is σ = 205811208720. Its totient is φ = 40440072960.

The previous prime is 105827583683. The next prime is 105827583703. The reversal of 105827583694 is 496385728501.

It is a super-2 number, since 2×105827583694² (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 23 ways as a sum of consecutive naturals, for example, 1639977 + ... + 1703284.

It is an arithmetic number, because the mean of its divisors is an integer number (4287733515).

It is a 1-persistent number, because it is pandigital, but 2⋅105827583694 = 211655167388 is not.

Almost surely, 2^105827583694 is an apocalyptic number.

105827583694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105827583694 is a deficient number, since it is larger than the sum of its proper divisors (99983625026).

105827583694 is a wasteful number, since it uses less digits than its factorization.

105827583694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343313 (or 3343306 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 105827583694 in words is "one hundred five billion, eight hundred twenty-seven million, five hundred eighty-three thousand, six hundred ninety-four".