106824192 has 80 divisors (see below), whose sum is σ = 301400352. Its totient is φ = 33505280.

The previous prime is 106824187. The next prime is 106824227. The reversal of 106824192 is 291428601.

It is a super-2 number, since 2×106824192² = 22822815992905728, which contains 22 as substring.

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, 24067 + ... + 28157.

Almost surely, 2^106824192 is an apocalyptic number.

106824192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150700176).

106824192 is an abundant number, since it is smaller than the sum of its proper divisors (194576160).

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

106824192 is an equidigital number, since it uses as much as digits as its factorization.

106824192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106824192 is about 10335.5789387920. The cubic root of 106824192 is about 474.4857844370.

The spelling of 106824192 in words is "one hundred six million, eight hundred twenty-four thousand, one hundred ninety-two".