106057200 has 120 divisors (see below), whose sum is σ = 350818816. Its totient is φ = 27360000.

The previous prime is 106057177. The next prime is 106057213. The reversal of 106057200 is 2750601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106057200² = 22496259343680000, which contains 22 as substring.

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, 35775 + ... + 38625.

Almost surely, 2^106057200 is an apocalyptic number.

106057200 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 106057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175409408).

106057200 is an abundant number, since it is smaller than the sum of its proper divisors (244761616).

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

106057200 is a wasteful number, since it uses less digits than its factorization.

106057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 106057200 is about 10298.4076439030. The cubic root of 106057200 is about 473.3474615016.

The spelling of 106057200 in words is "one hundred six million, fifty-seven thousand, two hundred".