106813635 has 32 divisors (see below), whose sum is σ = 185861952. Its totient is φ = 52162560.

The previous prime is 106813621. The next prime is 106813639. The reversal of 106813635 is 536318601.

It is not a de Polignac number, because 106813635 - 2⁶ = 106813571 is a prime.

It is a super-2 number, since 2×106813635² = 22818305243826450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106813596 and 106813605.

It is not an unprimeable number, because it can be changed into a prime (106813639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (5808186).

Almost surely, 2^106813635 is an apocalyptic number.

106813635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106813635 is a deficient number, since it is larger than the sum of its proper divisors (79048317).

106813635 is a wasteful number, since it uses less digits than its factorization.

106813635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 106813635 is about 10335.0682145789. The cubic root of 106813635 is about 474.4701534227.

The spelling of 106813635 in words is "one hundred six million, eight hundred thirteen thousand, six hundred thirty-five".