106266624 has 128 divisors (see below), whose sum is σ = 301985280. Its totient is φ = 33161216.

The previous prime is 106266619. The next prime is 106266649. The reversal of 106266624 is 426662601.

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

It is a super-2 number, since 2×106266624² = 22585190752714752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260969 + ... + 2261015.

It is an arithmetic number, because the mean of its divisors is an integer number (2359260).

Almost surely, 2^106266624 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 106266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150992640).

106266624 is an abundant number, since it is smaller than the sum of its proper divisors (195718656).

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

106266624 is an frugal number, since it uses more digits than its factorization.

106266624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 106266624 is about 10308.5704149509. The cubic root of 106266624 is about 473.6588190886.

The spelling of 106266624 in words is "one hundred six million, two hundred sixty-six thousand, six hundred twenty-four".