106349712 has 80 divisors (see below), whose sum is σ = 315313152. Its totient is φ = 30257280.

The previous prime is 106349689. The next prime is 106349741. The reversal of 106349712 is 217943601.

It is a super-2 number, since 2×106349712² = 22620522484965888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 102637 + ... + 103667.

Almost surely, 2^106349712 is an apocalyptic number.

106349712 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 106349712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157656576).

106349712 is an abundant number, since it is smaller than the sum of its proper divisors (208963440).

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

106349712 is a wasteful number, since it uses less digits than its factorization.

106349712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 106349712 is about 10312.5996722456. The cubic root of 106349712 is about 473.7822354221.

The spelling of 106349712 in words is "one hundred six million, three hundred forty-nine thousand, seven hundred twelve".