106417635 has 32 divisors (see below), whose sum is σ = 174845952. Its totient is φ = 55244160.

The previous prime is 106417609. The next prime is 106417657. The reversal of 106417635 is 536714601.

It is a de Polignac number, because none of the positive numbers 2^k-106417635 is a prime.

It is a super-2 number, since 2×106417635² = 22649426077986450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106417596 and 106417605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190777 + ... + 191333.

It is an arithmetic number, because the mean of its divisors is an integer number (5463936).

Almost surely, 2^106417635 is an apocalyptic number.

106417635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106417635 is a deficient number, since it is larger than the sum of its proper divisors (68428317).

106417635 is a wasteful number, since it uses less digits than its factorization.

106417635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106417635 is about 10315.8923511250. The cubic root of 106417635 is about 473.8830783913.

The spelling of 106417635 in words is "one hundred six million, four hundred seventeen thousand, six hundred thirty-five".