106874600 has 96 divisors (see below), whose sum is σ = 287273280. Its totient is φ = 36218880.

The previous prime is 106874591. The next prime is 106874617. The reversal of 106874600 is 6478601.

It is a super-2 number, since 2×106874600² = 22844360250320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135407 + ... + 136193.

It is an arithmetic number, because the mean of its divisors is an integer number (2992430).

Almost surely, 2^106874600 is an apocalyptic number.

106874600 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 106874600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143636640).

106874600 is an abundant number, since it is smaller than the sum of its proper divisors (180398680).

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

106874600 is a wasteful number, since it uses less digits than its factorization.

106874600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 106874600 is about 10338.0172180162. The cubic root of 106874600 is about 474.5604058558.

The spelling of 106874600 in words is "one hundred six million, eight hundred seventy-four thousand, six hundred".