106838700 has 36 divisors (see below), whose sum is σ = 309120840. Its totient is φ = 28490240.

The previous prime is 106838687. The next prime is 106838701. The reversal of 106838700 is 7838601.

It is a super-2 number, since 2×106838700² = 22829015635380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106838701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177765 + ... + 178364.

It is an arithmetic number, because the mean of its divisors is an integer number (8586690).

Almost surely, 2^106838700 is an apocalyptic number.

106838700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106838700 is an abundant number, since it is smaller than the sum of its proper divisors (202282140).

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

106838700 is a wasteful number, since it uses less digits than its factorization.

106838700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356146 (or 356139 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106838700 is about 10336.2807624406. The cubic root of 106838700 is about 474.5072637419.

Subtracting from 106838700 its reverse (7838601), we obtain a palindrome (99000099).

The spelling of 106838700 in words is "one hundred six million, eight hundred thirty-eight thousand, seven hundred".