105032823 has 12 divisors (see below), whose sum is σ = 162908280. Its totient is φ = 60018672.

The previous prime is 105032821. The next prime is 105032833. The reversal of 105032823 is 328230501.

It is not a de Polignac number, because 105032823 - 2¹ = 105032821 is a prime.

It is a super-2 number, since 2×105032823² = 22063787814698658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105032793 and 105032802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032821) 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, 357108 + ... + 357401.

It is an arithmetic number, because the mean of its divisors is an integer number (13575690).

Almost surely, 2^105032823 is an apocalyptic number.

105032823 is a deficient number, since it is larger than the sum of its proper divisors (57875457).

105032823 is an equidigital number, since it uses as much as digits as its factorization.

105032823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714526 (or 714519 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105032823 is about 10248.5522392190. The cubic root of 105032823 is about 471.8185512815.

The spelling of 105032823 in words is "one hundred five million, thirty-two thousand, eight hundred twenty-three".