105836532 has 24 divisors (see below), whose sum is σ = 247214016. Its totient is φ = 35241408.

The previous prime is 105836519. The next prime is 105836551. The reversal of 105836532 is 235638501.

It is a super-2 number, since 2×105836532² = 22402743011574048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105836493 and 105836502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8608 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (10300584).

Almost surely, 2^105836532 is an apocalyptic number.

105836532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105836532 is an abundant number, since it is smaller than the sum of its proper divisors (141377484).

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

105836532 is a wasteful number, since it uses less digits than its factorization.

105836532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367 (or 9365 counting only the distinct ones).

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

The square root of 105836532 is about 10287.6883700859. The cubic root of 105836532 is about 473.0189432912.

The spelling of 105836532 in words is "one hundred five million, eight hundred thirty-six thousand, five hundred thirty-two".