106583700 has 72 divisors (see below), whose sum is σ = 319042080. Its totient is φ = 27440000.

The previous prime is 106583681. The next prime is 106583759. The reversal of 106583700 is 7385601.

It is a super-2 number, since 2×106583700² = 22720170211380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2575 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (4431140).

Almost surely, 2^106583700 is an apocalyptic number.

106583700 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 106583700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159521040).

106583700 is an abundant number, since it is smaller than the sum of its proper divisors (212458380).

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

106583700 is a wasteful number, since it uses less digits than its factorization.

106583700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12297 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106583700 is about 10323.9382020622. The cubic root of 106583700 is about 474.1294488795.

The spelling of 106583700 in words is "one hundred six million, five hundred eighty-three thousand, seven hundred".