106010272 has 48 divisors (see below), whose sum is σ = 221780160. Its totient is φ = 49738752.

The previous prime is 106010269. The next prime is 106010273. The reversal of 106010272 is 272010601.

It is a super-2 number, since 2×106010272² = 22476355539027968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (106010273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 67933 + ... + 69475.

It is an arithmetic number, because the mean of its divisors is an integer number (4620420).

Almost surely, 2^106010272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106010272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110890080).

106010272 is an abundant number, since it is smaller than the sum of its proper divisors (115769888).

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

106010272 is a wasteful number, since it uses less digits than its factorization.

106010272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 106010272 is about 10296.1289813211. The cubic root of 106010272 is about 473.2776358894.

Adding to 106010272 its reverse (272010601), we get a palindrome (378020873).

The spelling of 106010272 in words is "one hundred six million, ten thousand, two hundred seventy-two".