106102272 has 80 divisors (see below), whose sum is σ = 287160192. Its totient is φ = 34805760.

The previous prime is 106102267. The next prime is 106102279. The reversal of 106102272 is 272201601.

It is a super-2 number, since 2×106102272² = 22515384247123968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102397 + ... + 103427.

Almost surely, 2^106102272 is an apocalyptic number.

106102272 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 106102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143580096).

106102272 is an abundant number, since it is smaller than the sum of its proper divisors (181057920).

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

106102272 is an equidigital number, since it uses as much as digits as its factorization.

106102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 106102272 is about 10300.5957109286. The cubic root of 106102272 is about 473.4145061255.

Adding to 106102272 its reverse (272201601), we get a palindrome (378303873).

It can be divided in two parts, 106 and 102272, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 106102272 in words is "one hundred six million, one hundred two thousand, two hundred seventy-two".