106088634 has 36 divisors (see below), whose sum is σ = 237551418. Its totient is φ = 34216560.

The previous prime is 106088621. The next prime is 106088651. The reversal of 106088634 is 436880601.

It is a happy number.

106088634 is a `hidden beast` number, since 10 + 6 + 0 + 8 + 8 + 634 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62489025 + 43599609 = 7905^2 + 6603^2 .

It is a super-2 number, since 2×106088634² = 22509596527971912, 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 17 ways as a sum of consecutive naturals, for example, 14232 + ... + 20364.

Almost surely, 2^106088634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106088634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118775709).

106088634 is an abundant number, since it is smaller than the sum of its proper divisors (131462784).

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

106088634 is a wasteful number, since it uses less digits than its factorization.

106088634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106088634 is about 10299.9336891069. The cubic root of 106088634 is about 473.3942215970.

The spelling of 106088634 in words is "one hundred six million, eighty-eight thousand, six hundred thirty-four".