106824263 has 16 divisors (see below), whose sum is σ = 134164800. Its totient is φ = 84516768.

The previous prime is 106824253. The next prime is 106824269. The reversal of 106824263 is 362428601.

It is not a de Polignac number, because 106824263 - 2⁸ = 106824007 is a prime.

It is a super-2 number, since 2×106824263² = 22822846330986338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7520 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (8385300).

Almost surely, 2^106824263 is an apocalyptic number.

106824263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106824263 is a deficient number, since it is larger than the sum of its proper divisors (27340537).

106824263 is an equidigital number, since it uses as much as digits as its factorization.

106824263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23991 (or 23977 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 106824263 is about 10335.5823735288. The cubic root of 106824263 is about 474.4858895583.

The spelling of 106824263 in words is "one hundred six million, eight hundred twenty-four thousand, two hundred sixty-three".