106859200 has 252 divisors, whose sum is σ = 323148960. Its totient is φ = 34621440.

The previous prime is 106859149. The next prime is 106859231. The reversal of 106859200 is 2958601.

It is a super-2 number, since 2×106859200² = 22837777249280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2273577 + ... + 2273623.

Almost surely, 2^106859200 is an apocalyptic number.

106859200 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 106859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161574480).

106859200 is an abundant number, since it is smaller than the sum of its proper divisors (216289760).

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

106859200 is a wasteful number, since it uses less digits than its factorization.

106859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 106859200 is about 10337.2723675058. The cubic root of 106859200 is about 474.5376109750.

The spelling of 106859200 in words is "one hundred six million, eight hundred fifty-nine thousand, two hundred".