106687300 has 54 divisors (see below), whose sum is σ = 237431418. Its totient is φ = 41610240.

The previous prime is 106687279. The next prime is 106687307. The reversal of 106687300 is 3786601.

It can be written as a sum of positive squares in 3 ways, for example, as 34199104 + 72488196 = 5848^2 + 8514^2 .

It is a super-2 number, since 2×106687300² = 22764359962580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106687307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184612 + ... + 185188.

Almost surely, 2^106687300 is an apocalyptic number.

106687300 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 106687300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118715709).

106687300 is an abundant number, since it is smaller than the sum of its proper divisors (130744118).

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

106687300 is a wasteful number, since it uses less digits than its factorization.

106687300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 106687300 is about 10328.9544485393. The cubic root of 106687300 is about 474.2830180293.

The spelling of 106687300 in words is "one hundred six million, six hundred eighty-seven thousand, three hundred".