106181835 has 16 divisors (see below), whose sum is σ = 173842944. Its totient is φ = 55312992.

The previous prime is 106181833. The next prime is 106181837. The reversal of 106181835 is 538181601.

It is an interprime number because it is at equal distance from previous prime (106181833) and next prime (106181837).

It is not a de Polignac number, because 106181835 - 2¹ = 106181833 is a prime.

It is a super-2 number, since 2×106181835² = 22549164167934450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106181796 and 106181805.

It is not an unprimeable number, because it can be changed into a prime (106181833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81667 + ... + 82956.

It is an arithmetic number, because the mean of its divisors is an integer number (10865184).

Almost surely, 2^106181835 is an apocalyptic number.

106181835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106181835 is a deficient number, since it is larger than the sum of its proper divisors (67661109).

106181835 is a wasteful number, since it uses less digits than its factorization.

106181835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164674.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 106181835 is about 10304.4570453760. The cubic root of 106181835 is about 473.5328098043.

The spelling of 106181835 in words is "one hundred six million, one hundred eighty-one thousand, eight hundred thirty-five".