106289036 has 36 divisors (see below), whose sum is σ = 217375200. Its totient is φ = 45341856.

The previous prime is 106289033. The next prime is 106289039. The reversal of 106289036 is 630982601.

It is an interprime number because it is at equal distance from previous prime (106289033) and next prime (106289039).

It is a super-2 number, since 2×106289036² = 22594718347618592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106288987 and 106289005.

It is not an unprimeable number, because it can be changed into a prime (106289033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45710 + ... + 47978.

It is an arithmetic number, because the mean of its divisors is an integer number (6038200).

Almost surely, 2^106289036 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 106289036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108687600).

106289036 is an abundant number, since it is smaller than the sum of its proper divisors (111086164).

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

106289036 is a wasteful number, since it uses less digits than its factorization.

106289036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 106289036 is about 10309.6574142888. The cubic root of 106289036 is about 473.6921155111.

The spelling of 106289036 in words is "one hundred six million, two hundred eighty-nine thousand, thirty-six".