107006886 has 96 divisors (see below), whose sum is σ = 284352480. Its totient is φ = 29719872.

The previous prime is 107006821. The next prime is 107006903. The reversal of 107006886 is 688600701.

It is a super-2 number, since 2×107006886² = 22900947302833992, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107006886.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 97356 + ... + 98448.

It is an arithmetic number, because the mean of its divisors is an integer number (2962005).

Almost surely, 2^107006886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107006886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142176240).

107006886 is an abundant number, since it is smaller than the sum of its proper divisors (177345594).

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

107006886 is a wasteful number, since it uses less digits than its factorization.

107006886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107006886 is about 10344.4132748068. The cubic root of 107006886 is about 474.7561237477.

It can be divided in two parts, 10 and 7006886, that added together give a triangular number (7006896 = T₃₇₄₃).

The spelling of 107006886 in words is "one hundred seven million, six thousand, eight hundred eighty-six".