106100280 has 320 divisors, whose sum is σ = 420789600. Its totient is φ = 23639040.

The previous prime is 106100263. The next prime is 106100287. The reversal of 106100280 is 82001601.

It is a super-2 number, since 2×106100280² = 22514538832156800, 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 not an unprimeable number, because it can be changed into a prime (106100287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 463206 + ... + 463434.

Almost surely, 2^106100280 is an apocalyptic number.

106100280 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 106100280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210394800).

106100280 is an abundant number, since it is smaller than the sum of its proper divisors (314689320).

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

106100280 is a wasteful number, since it uses less digits than its factorization.

106100280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106100280 is about 10300.4990170380. The cubic root of 106100280 is about 473.4115434255.

Adding to 106100280 its reverse (82001601), we get a palindrome (188101881).

The spelling of 106100280 in words is "one hundred six million, one hundred thousand, two hundred eighty".