106309272 has 16 divisors (see below), whose sum is σ = 265773240. Its totient is φ = 35436416.

The previous prime is 106309271. The next prime is 106309283. The reversal of 106309272 is 272903601.

It is a super-2 number, since 2×106309272² = 22603322626339968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106309271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2214753 + ... + 2214800.

Almost surely, 2^106309272 is an apocalyptic number.

106309272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106309272 is an abundant number, since it is smaller than the sum of its proper divisors (159463968).

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

106309272 is a wasteful number, since it uses less digits than its factorization.

106309272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429562 (or 4429558 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 106309272 is about 10310.6387774958. The cubic root of 106309272 is about 473.7221751352.

The spelling of 106309272 in words is "one hundred six million, three hundred nine thousand, two hundred seventy-two".