105834191232 has 128 divisors (see below), whose sum is σ = 350489952000. Its totient is φ = 27489392640.

The previous prime is 105834191227. The next prime is 105834191257. The reversal of 105834191232 is 232191438501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105834191232² (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 15 ways as a sum of consecutive naturals, for example, 1760107 + ... + 1819242.

It is an arithmetic number, because the mean of its divisors is an integer number (2738202750).

Almost surely, 2^105834191232 is an apocalyptic number.

105834191232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105834191232 is an abundant number, since it is smaller than the sum of its proper divisors (244655760768).

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

105834191232 is a wasteful number, since it uses less digits than its factorization.

105834191232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579384 (or 3579372 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 105834191232 in words is "one hundred five billion, eight hundred thirty-four million, one hundred ninety-one thousand, two hundred thirty-two".