106642624 has 84 divisors (see below), whose sum is σ = 238365792. Its totient is φ = 47280640.

The previous prime is 106642597. The next prime is 106642643. The reversal of 106642624 is 426246601.

It is a super-2 number, since 2×106642624² = 22745298507210752, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 363822 + ... + 364114.

It is an arithmetic number, because the mean of its divisors is an integer number (2837688).

Almost surely, 2^106642624 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 106642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119182896).

106642624 is an abundant number, since it is smaller than the sum of its proper divisors (131723168).

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

106642624 is a wasteful number, since it uses less digits than its factorization.

106642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 106642624 is about 10326.7915636949. The cubic root of 106642624 is about 474.2168057545.

The spelling of 106642624 in words is "one hundred six million, six hundred forty-two thousand, six hundred twenty-four".