106213600 has 72 divisors (see below), whose sum is σ = 262014480. Its totient is φ = 42040320.

The previous prime is 106213543. The next prime is 106213649. The reversal of 106213600 is 6312601.

It is a super-2 number, since 2×106213600² = 22562657649920000, 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, 81756 + ... + 83044.

It is an arithmetic number, because the mean of its divisors is an integer number (3639090).

Almost surely, 2^106213600 is an apocalyptic number.

106213600 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 106213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131007240).

106213600 is an abundant number, since it is smaller than the sum of its proper divisors (155800880).

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

106213600 is a wasteful number, since it uses less digits than its factorization.

106213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 106213600 is about 10305.9982534444. The cubic root of 106213600 is about 473.5800252563.

Subtracting from 106213600 its reverse (6312601), we obtain a palindrome (99900999).

The spelling of 106213600 in words is "one hundred six million, two hundred thirteen thousand, six hundred".