105834422232 has 192 divisors, whose sum is σ = 373071657600. Its totient is φ = 27489430080.

The previous prime is 105834422227. The next prime is 105834422261. The reversal of 105834422232 is 232224438501.

105834422232 is a `hidden beast` number, since 1 + 0 + 583 + 4 + 42 + 2 + 2 + 32 = 666.

It is a super-2 number, since 2×105834422232² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338098 + ... + 570945.

It is an arithmetic number, because the mean of its divisors is an integer number (1943081550).

Almost surely, 2^105834422232 is an apocalyptic number.

105834422232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105834422232 is an abundant number, since it is smaller than the sum of its proper divisors (267237235368).

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

105834422232 is a wasteful number, since it uses less digits than its factorization.

105834422232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909083 (or 909066 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 105834422232 in words is "one hundred five billion, eight hundred thirty-four million, four hundred twenty-two thousand, two hundred thirty-two".