106187600 has 60 divisors (see below), whose sum is σ = 258778080. Its totient is φ = 41865600.

The previous prime is 106187513. The next prime is 106187623. The reversal of 106187600 is 6781601.

It is a super-2 number, since 2×106187600² = 22551612787520000, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26531 + ... + 30269.

It is an arithmetic number, because the mean of its divisors is an integer number (4312968).

Almost surely, 2^106187600 is an apocalyptic number.

106187600 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 106187600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129389040).

106187600 is an abundant number, since it is smaller than the sum of its proper divisors (152590480).

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

106187600 is a wasteful number, since it uses less digits than its factorization.

106187600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 106187600 is about 10304.7367749011. The cubic root of 106187600 is about 473.5413795916.

The spelling of 106187600 in words is "one hundred six million, one hundred eighty-seven thousand, six hundred".