106069824 has 280 divisors, whose sum is σ = 373725440. Its totient is φ = 29113344.

The previous prime is 106069819. The next prime is 106069841. The reversal of 106069824 is 428960601.

It is a super-2 number, since 2×106069824² = 22501615126781952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1342617 + ... + 1342695.

Almost surely, 2^106069824 is an apocalyptic number.

106069824 is a gapful number since it is divisible by the number (14) 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 106069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186862720).

106069824 is an abundant number, since it is smaller than the sum of its proper divisors (267655616).

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

106069824 is an equidigital number, since it uses as much as digits as its factorization.

106069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106069824 is about 10299.0205359539. The cubic root of 106069824 is about 473.3662416231.

The spelling of 106069824 in words is "one hundred six million, sixty-nine thousand, eight hundred twenty-four".