106065735 has 16 divisors (see below), whose sum is σ = 173652864. Its totient is φ = 55252512.

The previous prime is 106065709. The next prime is 106065761. The reversal of 106065735 is 537560601.

It is an interprime number because it is at equal distance from previous prime (106065709) and next prime (106065761).

It is not a de Polignac number, because 106065735 - 2⁶ = 106065671 is a prime.

It is a super-2 number, since 2×106065735² = 22499880282180450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106065696 and 106065705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81577 + ... + 82866.

It is an arithmetic number, because the mean of its divisors is an integer number (10853304).

Almost surely, 2^106065735 is an apocalyptic number.

106065735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106065735 is a deficient number, since it is larger than the sum of its proper divisors (67587129).

106065735 is a wasteful number, since it uses less digits than its factorization.

106065735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164494.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 106065735 is about 10298.8220200176. The cubic root of 106065735 is about 473.3601587764.

It can be divided in two parts, 1060 and 65735, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 106065735 in words is "one hundred six million, sixty-five thousand, seven hundred thirty-five".