105833652 has 12 divisors (see below), whose sum is σ = 246945216. Its totient is φ = 35277880.

The previous prime is 105833641. The next prime is 105833699. The reversal of 105833652 is 256338501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105833652² = 22401523791314208, which 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 3 ways as a sum of consecutive naturals, for example, 4409724 + ... + 4409747.

It is an arithmetic number, because the mean of its divisors is an integer number (20578768).

Almost surely, 2^105833652 is an apocalyptic number.

105833652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105833652 is an abundant number, since it is smaller than the sum of its proper divisors (141111564).

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

105833652 is a wasteful number, since it uses less digits than its factorization.

105833652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819478 (or 8819476 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105833652 is about 10287.5483959980. The cubic root of 105833652 is about 473.0146526904.

The spelling of 105833652 in words is "one hundred five million, eight hundred thirty-three thousand, six hundred fifty-two".