106334624 has 48 divisors (see below), whose sum is σ = 229430880. Its totient is φ = 48111360.

The previous prime is 106334617. The next prime is 106334639. The reversal of 106334624 is 426433601.

It is a super-2 number, since 2×106334624² = 22614104522442752, which contains 22 as substring.

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, 94127 + ... + 95249.

It is an arithmetic number, because the mean of its divisors is an integer number (4779810).

Almost surely, 2^106334624 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 106334624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114715440).

106334624 is an abundant number, since it is smaller than the sum of its proper divisors (123096256).

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

106334624 is a wasteful number, since it uses less digits than its factorization.

106334624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 106334624 is about 10311.8681139743. The cubic root of 106334624 is about 473.7598289535.

The spelling of 106334624 in words is "one hundred six million, three hundred thirty-four thousand, six hundred twenty-four".