106877682 has 48 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 34490016.

The previous prime is 106877681. The next prime is 106877707. The reversal of 106877682 is 286778601.

It is a super-2 number, since 2×106877682² = 22845677819386248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106877681) 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, 254869 + ... + 255287.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^106877682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106877682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

106877682 is an abundant number, since it is smaller than the sum of its proper divisors (132139278).

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

106877682 is a wasteful number, since it uses less digits than its factorization.

106877682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 106877682 is about 10338.1662784074. The cubic root of 106877682 is about 474.5649675294.

The spelling of 106877682 in words is "one hundred six million, eight hundred seventy-seven thousand, six hundred eighty-two".