106003272 has 32 divisors (see below), whose sum is σ = 267991200. Its totient is φ = 34936704.

The previous prime is 106003253. The next prime is 106003277. The reversal of 106003272 is 272300601.

It is a happy number.

It is a super-2 number, since 2×106003272² = 22473387349411968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106003277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22678 + ... + 26949.

It is an arithmetic number, because the mean of its divisors is an integer number (8374725).

Almost surely, 2^106003272 is an apocalyptic number.

106003272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106003272 is an abundant number, since it is smaller than the sum of its proper divisors (161987928).

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

106003272 is a wasteful number, since it uses less digits than its factorization.

106003272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49725 (or 49721 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106003272 is about 10295.7890421279. The cubic root of 106003272 is about 473.2672186084.

Adding to 106003272 its reverse (272300601), we get a palindrome (378303873).

The spelling of 106003272 in words is "one hundred six million, three thousand, two hundred seventy-two".