106086864 has 80 divisors (see below), whose sum is σ = 296980992. Its totient is φ = 32438784.

The previous prime is 106086859. The next prime is 106086923. The reversal of 106086864 is 468680601.

It is a super-2 number, since 2×106086864² = 22508845426708992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122497 + ... + 123359.

Almost surely, 2^106086864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106086864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

106086864 is an abundant number, since it is smaller than the sum of its proper divisors (190894128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106086864 is a wasteful number, since it uses less digits than its factorization.

106086864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 106086864 is about 10299.8477658653. The cubic root of 106086864 is about 473.3915888536.

The spelling of 106086864 in words is "one hundred six million, eighty-six thousand, eight hundred sixty-four".