106227824 has 40 divisors (see below), whose sum is σ = 215224320. Its totient is φ = 50731200.

The previous prime is 106227809. The next prime is 106227839. The reversal of 106227824 is 428722601.

It is an interprime number because it is at equal distance from previous prime (106227809) and next prime (106227839).

It is a super-2 number, since 2×106227824² = 22568701183549952, 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 7 ways as a sum of consecutive naturals, for example, 37829 + ... + 40539.

It is an arithmetic number, because the mean of its divisors is an integer number (5380608).

Almost surely, 2^106227824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106227824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107612160).

106227824 is an abundant number, since it is smaller than the sum of its proper divisors (108996496).

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

106227824 is a wasteful number, since it uses less digits than its factorization.

106227824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 106227824 is about 10306.6883139057. The cubic root of 106227824 is about 473.6011647387.

The spelling of 106227824 in words is "one hundred six million, two hundred twenty-seven thousand, eight hundred twenty-four".