106122624 has 64 divisors (see below), whose sum is σ = 288488640. Its totient is φ = 34546176.

The previous prime is 106122607. The next prime is 106122647. The reversal of 106122624 is 426221601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106122624² = 22524022649290752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106122594 and 106122603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13299 + ... + 19725.

It is an arithmetic number, because the mean of its divisors is an integer number (4507635).

Almost surely, 2^106122624 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 106122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144244320).

106122624 is an abundant number, since it is smaller than the sum of its proper divisors (182366016).

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

106122624 is an equidigital number, since it uses as much as digits as its factorization.

106122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106122624 is about 10301.5835675880. The cubic root of 106122624 is about 473.4447735139. Note that the first 3 decimals are identical.

The spelling of 106122624 in words is "one hundred six million, one hundred twenty-two thousand, six hundred twenty-four".