106616200 has 48 divisors (see below), whose sum is σ = 249269760. Its totient is φ = 42408000.

The previous prime is 106616183. The next prime is 106616207. The reversal of 106616200 is 2616601.

It is a super-2 number, since 2×106616200² = 22734028204880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106616207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 36805 + ... + 39595.

It is an arithmetic number, because the mean of its divisors is an integer number (5193120).

Almost surely, 2^106616200 is an apocalyptic number.

106616200 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 106616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124634880).

106616200 is an abundant number, since it is smaller than the sum of its proper divisors (142653560).

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

106616200 is a wasteful number, since it uses less digits than its factorization.

106616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106616200 is about 10325.5120938383. The cubic root of 106616200 is about 474.1776352380.

It can be divided in two parts, 10661 and 6200, that added together give a palindrome (16861).

The spelling of 106616200 in words is "one hundred six million, six hundred sixteen thousand, two hundred".