106742272 has 160 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 40255488.

The previous prime is 106742267. The next prime is 106742281. The reversal of 106742272 is 272247601.

It is a super-2 number, since 2×106742272² = 22787825263443968, 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 15 ways as a sum of consecutive naturals, for example, 1351129 + ... + 1351207.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^106742272 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 106742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

106742272 is an abundant number, since it is smaller than the sum of its proper divisors (168240128).

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

106742272 is an equidigital number, since it uses as much as digits as its factorization.

106742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 106742272 is about 10331.6151689850. The cubic root of 106742272 is about 474.3644641787.

Adding to 106742272 its reverse (272247601), we get a palindrome (378989873).

The spelling of 106742272 in words is "one hundred six million, seven hundred forty-two thousand, two hundred seventy-two".