106026624 has 128 divisors (see below), whose sum is σ = 341496000. Its totient is φ = 32117760.

The previous prime is 106026623. The next prime is 106026647. The reversal of 106026624 is 426620601.

It is a happy number.

106026624 is a `hidden beast` number, since 10 + 6 + 0 + 26 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106026624² = 22483289993674752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106026623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36622 + ... + 39410.

Almost surely, 2^106026624 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 106026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

106026624 is an abundant number, since it is smaller than the sum of its proper divisors (235469376).

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

106026624 is a wasteful number, since it uses less digits than its factorization.

106026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106026624 is about 10296.9230355480. The cubic root of 106026624 is about 473.3019688711.

The spelling of 106026624 in words is "one hundred six million, twenty-six thousand, six hundred twenty-four".