106072268 has 12 divisors (see below), whose sum is σ = 186160800. Its totient is φ = 52883472.

The previous prime is 106072261. The next prime is 106072283. The reversal of 106072268 is 862270601.

It is a super-2 number, since 2×106072268² = 22502652077327648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106072261) 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 3 ways as a sum of consecutive naturals, for example, 36596 + ... + 39387.

It is an arithmetic number, because the mean of its divisors is an integer number (15513400).

Almost surely, 2^106072268 is an apocalyptic number.

It is an amenable number.

106072268 is a deficient number, since it is larger than the sum of its proper divisors (80088532).

106072268 is a wasteful number, since it uses less digits than its factorization.

106072268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76336 (or 76334 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 106072268 is about 10299.1391873302. The cubic root of 106072268 is about 473.3698772729.

The spelling of 106072268 in words is "one hundred six million, seventy-two thousand, two hundred sixty-eight".