106933272 has 48 divisors (see below), whose sum is σ = 273277560. Its totient is φ = 34868736.

The previous prime is 106933249. The next prime is 106933297. The reversal of 106933272 is 272339601.

It is a happy number.

It is a super-2 number, since 2×106933272² = 22869449321251968, 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 11 ways as a sum of consecutive naturals, for example, 52008 + ... + 54024.

Almost surely, 2^106933272 is an apocalyptic number.

106933272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106933272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136638780).

106933272 is an abundant number, since it is smaller than the sum of its proper divisors (166344288).

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

106933272 is a wasteful number, since it uses less digits than its factorization.

106933272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 106933272 is about 10340.8545101457. The cubic root of 106933272 is about 474.6472313333.

The spelling of 106933272 in words is "one hundred six million, nine hundred thirty-three thousand, two hundred seventy-two".