106877700 has 108 divisors (see below), whose sum is σ = 337673700. Its totient is φ = 28273920.

The previous prime is 106877681. The next prime is 106877707. The reversal of 106877700 is 7778601.

It can be written as a sum of positive squares in 6 ways, for example, as 13793796 + 93083904 = 3714^2 + 9648^2 .

It is a super-2 number, since 2×106877700² = 22845685514580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106877707) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 133702 + ... + 134498.

Almost surely, 2^106877700 is an apocalyptic number.

106877700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106877700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168836850).

106877700 is an abundant number, since it is smaller than the sum of its proper divisors (230796000).

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

106877700 is a wasteful number, since it uses less digits than its factorization.

106877700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 106877700 is about 10338.1671489679. The cubic root of 106877700 is about 474.5649941710.

Subtracting from 106877700 its reverse (7778601), we obtain a palindrome (99099099).

The spelling of 106877700 in words is "one hundred six million, eight hundred seventy-seven thousand, seven hundred".