106793424 has 80 divisors (see below), whose sum is σ = 313720000. Its totient is φ = 34763904.

The previous prime is 106793389. The next prime is 106793431. The reversal of 106793424 is 424397601.

It is a super-2 number, since 2×106793424² = 22809670819287552, 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 15 ways as a sum of consecutive naturals, for example, 15702 + ... + 21450.

It is an arithmetic number, because the mean of its divisors is an integer number (3921500).

Almost surely, 2^106793424 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 106793424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156860000).

106793424 is an abundant number, since it is smaller than the sum of its proper divisors (206926576).

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

106793424 is a wasteful number, since it uses less digits than its factorization.

106793424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106793424 is about 10334.0903808705. The cubic root of 106793424 is about 474.4402255295.

The spelling of 106793424 in words is "one hundred six million, seven hundred ninety-three thousand, four hundred twenty-four".