106831272 has 32 divisors (see below), whose sum is σ = 268289280. Its totient is φ = 35448960.

The previous prime is 106831271. The next prime is 106831279. The reversal of 106831272 is 272138601.

It is a super-2 number, since 2×106831272² = 22825841354275968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106831271) 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, 4629 + ... + 15332.

It is an arithmetic number, because the mean of its divisors is an integer number (8384040).

Almost surely, 2^106831272 is an apocalyptic number.

106831272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106831272 is an abundant number, since it is smaller than the sum of its proper divisors (161458008).

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

106831272 is a wasteful number, since it uses less digits than its factorization.

106831272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20193 (or 20189 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106831272 is about 10335.9214393299. The cubic root of 106831272 is about 474.4962667229.

Adding to 106831272 its reverse (272138601), we get a palindrome (378969873).

The spelling of 106831272 in words is "one hundred six million, eight hundred thirty-one thousand, two hundred seventy-two".