106630272 has 144 divisors (see below), whose sum is σ = 357124950. Its totient is φ = 30449664.

The previous prime is 106630259. The next prime is 106630291. The reversal of 106630272 is 272036601.

It is a happy number.

106630272 is a `hidden beast` number, since 1 + 0 + 6 + 630 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 14930496 = 9576^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106630272² = 22740029813587968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55504 + ... + 57392.

Almost surely, 2^106630272 is an apocalyptic number.

106630272 is a gapful number since it is divisible by the number (12) 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 106630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178562475).

106630272 is an abundant number, since it is smaller than the sum of its proper divisors (250494678).

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

106630272 is a wasteful number, since it uses less digits than its factorization.

106630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106630272 is about 10326.1934903429. The cubic root of 106630272 is about 474.1984961520.

Adding to 106630272 its reverse (272036601), we get a palindrome (378666873).

The spelling of 106630272 in words is "one hundred six million, six hundred thirty thousand, two hundred seventy-two".