106060800 has 132 divisors (see below), whose sum is σ = 350790296. Its totient is φ = 28262400.

The previous prime is 106060781. The next prime is 106060813. The reversal of 106060800 is 8060601.

It is a super-2 number, since 2×106060800² = 22497786593280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76110 + ... + 77490.

Almost surely, 2^106060800 is an apocalyptic number.

106060800 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 106060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175395148).

106060800 is an abundant number, since it is smaller than the sum of its proper divisors (244729496).

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

106060800 is a wasteful number, since it uses less digits than its factorization.

106060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106060800 is about 10298.5824267226. The cubic root of 106060800 is about 473.3528172015.

The spelling of 106060800 in words is "one hundred six million, sixty thousand, eight hundred".