106133812635 has 16 divisors (see below), whose sum is σ = 170440727040. Its totient is φ = 56395824480.

The previous prime is 106133812619. The next prime is 106133812663. The reversal of 106133812635 is 536218331601.

It is not a de Polignac number, because 106133812635 - 2⁴ = 106133812619 is a prime.

It is a super-2 number, since 2×106133812635² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106133812593 and 106133812602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13050525 + ... + 13058654.

It is an arithmetic number, because the mean of its divisors is an integer number (10652545440).

Almost surely, 2^106133812635 is an apocalyptic number.

106133812635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106133812635 is a deficient number, since it is larger than the sum of its proper divisors (64306914405).

106133812635 is a wasteful number, since it uses less digits than its factorization.

106133812635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26109458.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 106133812635 in words is "one hundred six billion, one hundred thirty-three million, eight hundred twelve thousand, six hundred thirty-five".