106886538 has 48 divisors (see below), whose sum is σ = 253405152. Its totient is φ = 32292000.

The previous prime is 106886537. The next prime is 106886539. The reversal of 106886538 is 835688601.

106886538 is a `hidden beast` number, since 106 + 8 + 8 + 6 + 538 = 666.

It is an interprime number because it is at equal distance from previous prime (106886537) and next prime (106886539).

It is a super-2 number, since 2×106886538² = 22849464011250888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106886493 and 106886502.

It is not an unprimeable number, because it can be changed into a prime (106886537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90693 + ... + 91863.

It is an arithmetic number, because the mean of its divisors is an integer number (5279274).

Almost surely, 2^106886538 is an apocalyptic number.

106886538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106886538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126702576).

106886538 is an abundant number, since it is smaller than the sum of its proper divisors (146518614).

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

106886538 is a wasteful number, since it uses less digits than its factorization.

106886538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 106886538 is about 10338.5945853390. The cubic root of 106886538 is about 474.5780748224.

The spelling of 106886538 in words is "one hundred six million, eight hundred eighty-six thousand, five hundred thirty-eight".