106117983 has 24 divisors (see below), whose sum is σ = 163578480. Its totient is φ = 66096000.

The previous prime is 106117981. The next prime is 106117997. The reversal of 106117983 is 389711601.

It is not a de Polignac number, because 106117983 - 2¹ = 106117981 is a prime.

It is a super-2 number, since 2×106117983² = 22522052631976578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106117981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8233 + ... + 16733.

It is an arithmetic number, because the mean of its divisors is an integer number (6815770).

Almost surely, 2^106117983 is an apocalyptic number.

106117983 is a deficient number, since it is larger than the sum of its proper divisors (57460497).

106117983 is a wasteful number, since it uses less digits than its factorization.

106117983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8599 (or 8596 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 106117983 is about 10301.3583084951. The cubic root of 106117983 is about 473.4378717835.

It can be divided in two parts, 1061 and 17983, that added together give a square (19044 = 138²).

The spelling of 106117983 in words is "one hundred six million, one hundred seventeen thousand, nine hundred eighty-three".