106501626 has 96 divisors (see below), whose sum is σ = 294547968. Its totient is φ = 27004320.

The previous prime is 106501613. The next prime is 106501627. The reversal of 106501626 is 626105601.

It is a happy number.

106501626 is a `hidden beast` number, since 1 + 0 + 650 + 1 + 6 + 2 + 6 = 666.

It is a super-2 number, since 2×106501626² = 22685192681287752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106501626.

It is not an unprimeable number, because it can be changed into a prime (106501627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58705 + ... + 60491.

It is an arithmetic number, because the mean of its divisors is an integer number (3068208).

Almost surely, 2^106501626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106501626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147273984).

106501626 is an abundant number, since it is smaller than the sum of its proper divisors (188046342).

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

106501626 is a wasteful number, since it uses less digits than its factorization.

106501626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106501626 is about 10319.9624999319. The cubic root of 106501626 is about 474.0077176546.

The spelling of 106501626 in words is "one hundred six million, five hundred one thousand, six hundred twenty-six".