106867500 has 60 divisors (see below), whose sum is σ = 311619000. Its totient is φ = 28496000.

The previous prime is 106867493. The next prime is 106867531. The reversal of 106867500 is 5768601.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106867500² = 22841325112500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 376 + ... + 14624.

It is an arithmetic number, because the mean of its divisors is an integer number (5193650).

Almost surely, 2^106867500 is an apocalyptic number.

106867500 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 106867500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155809500).

106867500 is an abundant number, since it is smaller than the sum of its proper divisors (204751500).

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

106867500 is a wasteful number, since it uses less digits than its factorization.

106867500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14276 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 106867500 is about 10337.6738195786. The cubic root of 106867500 is about 474.5498967997.

The spelling of 106867500 in words is "one hundred six million, eight hundred sixty-seven thousand, five hundred".