105884233456 has 40 divisors (see below), whose sum is σ = 212258624400. Its totient is φ = 51108395520.

The previous prime is 105884233453. The next prime is 105884233493. The reversal of 105884233456 is 654332488501.

It is a super-2 number, since 2×105884233456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105884233453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3739191 + ... + 3767401.

It is an arithmetic number, because the mean of its divisors is an integer number (5306465610).

Almost surely, 2^105884233456 is an apocalyptic number.

105884233456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105884233456 is an abundant number, since it is smaller than the sum of its proper divisors (106374390944).

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

105884233456 is a wasteful number, since it uses less digits than its factorization.

105884233456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36337 (or 36331 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 105884233456 in words is "one hundred five billion, eight hundred eighty-four million, two hundred thirty-three thousand, four hundred fifty-six".