106048272 has 180 divisors, whose sum is σ = 327531120. Its totient is φ = 29462400.

The previous prime is 106048249. The next prime is 106048301. The reversal of 106048272 is 272840601.

It is a super-2 number, since 2×106048272² = 22492471988371968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3420897 + ... + 3420927.

Almost surely, 2^106048272 is an apocalyptic number.

106048272 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 106048272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163765560).

106048272 is an abundant number, since it is smaller than the sum of its proper divisors (221482848).

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

106048272 is a wasteful number, since it uses less digits than its factorization.

106048272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106048272 is about 10297.9741697093. The cubic root of 106048272 is about 473.3341788431.

Adding to 106048272 its reverse (272840601), we get a palindrome (378888873).

The spelling of 106048272 in words is "one hundred six million, forty-eight thousand, two hundred seventy-two".