106129985 has 8 divisors (see below), whose sum is σ = 137152680. Its totient is φ = 78372864.

The previous prime is 106129883. The next prime is 106129993. The reversal of 106129985 is 589921601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6848689 + 99281296 = 2617^2 + 9964^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106129985 - 2¹² = 106125889 is a prime.

It is a super-3 number, since 3×106129985³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816320 + ... + 816449.

It is an arithmetic number, because the mean of its divisors is an integer number (17144085).

Almost surely, 2^106129985 is an apocalyptic number.

It is an amenable number.

106129985 is a deficient number, since it is larger than the sum of its proper divisors (31022695).

106129985 is a wasteful number, since it uses less digits than its factorization.

106129985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632787.

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 106129985 is about 10301.9408365608. The cubic root of 106129985 is about 473.4557198019.

The spelling of 106129985 in words is "one hundred six million, one hundred twenty-nine thousand, nine hundred eighty-five".