105849832 has 48 divisors (see below), whose sum is σ = 223312320. Its totient is φ = 46976160.

The previous prime is 105849829. The next prime is 105849833. The reversal of 105849832 is 238948501.

It is a super-2 number, since 2×105849832² = 22408373868856448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105849833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40353 + ... + 42895.

It is an arithmetic number, because the mean of its divisors is an integer number (4652340).

Almost surely, 2^105849832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105849832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111656160).

105849832 is an abundant number, since it is smaller than the sum of its proper divisors (117462488).

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

105849832 is a wasteful number, since it uses less digits than its factorization.

105849832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 105849832 is about 10288.3347534963. The cubic root of 105849832 is about 473.0387565142.

The spelling of 105849832 in words is "one hundred five million, eight hundred forty-nine thousand, eight hundred thirty-two".