106622100 has 162 divisors, whose sum is σ = 362402586. Its totient is φ = 26208000.

The previous prime is 106622081. The next prime is 106622111. The reversal of 106622100 is 1226601.

It is a happy number.

106622100 is a `hidden beast` number, since 1 + 0 + 662 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 46621584 + 60000516 = 6828^2 + 7746^2 .

It is a super-2 number, since 2×106622100² = 22736544416820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151750 + ... + 152450.

It is an arithmetic number, because the mean of its divisors is an integer number (2237053).

Almost surely, 2^106622100 is an apocalyptic number.

106622100 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 106622100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181201293).

106622100 is an abundant number, since it is smaller than the sum of its proper divisors (255780486).

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

106622100 is a wasteful number, since it uses less digits than its factorization.

106622100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106622100 is about 10325.7977900015. The cubic root of 106622100 is about 474.1863818652.

Adding to 106622100 its reverse (1226601), we get a palindrome (107848701).

The spelling of 106622100 in words is "one hundred six million, six hundred twenty-two thousand, one hundred".