106687900 has 36 divisors (see below), whose sum is σ = 252561960. Its totient is φ = 38795200.

The previous prime is 106687879. The next prime is 106687913. The reversal of 106687900 is 9786601.

It is a super-2 number, since 2×106687900² = 22764616012820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106687900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47395 + ... + 49594.

It is an arithmetic number, because the mean of its divisors is an integer number (7015610).

Almost surely, 2^106687900 is an apocalyptic number.

106687900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106687900 is an abundant number, since it is smaller than the sum of its proper divisors (145874060).

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

106687900 is a wasteful number, since it uses less digits than its factorization.

106687900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97014 (or 97007 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 106687900 is about 10328.9834930646. The cubic root of 106687900 is about 474.2839071363.

The spelling of 106687900 in words is "one hundred six million, six hundred eighty-seven thousand, nine hundred".