106135631 has 16 divisors (see below), whose sum is σ = 124953600. Its totient is φ = 88272288.

The previous prime is 106135619. The next prime is 106135637. The reversal of 106135631 is 136531601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106135631 is a prime.

It is a super-3 number, since 3×106135631³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106135631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106135637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31001 + ... + 34253.

It is an arithmetic number, because the mean of its divisors is an integer number (7809600).

Almost surely, 2^106135631 is an apocalyptic number.

106135631 is a deficient number, since it is larger than the sum of its proper divisors (18817969).

106135631 is an equidigital number, since it uses as much as digits as its factorization.

106135631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 106135631 is about 10302.2148589514. The cubic root of 106135631 is about 473.4641154298.

The spelling of 106135631 in words is "one hundred six million, one hundred thirty-five thousand, six hundred thirty-one".