106193712 has 40 divisors (see below), whose sum is σ = 275560240. Its totient is φ = 35239680.

The previous prime is 106193707. The next prime is 106193771. The reversal of 106193712 is 217391601.

It is a super-2 number, since 2×106193712² = 22554208936677888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106193712.

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 7 ways as a sum of consecutive naturals, for example, 6162 + ... + 15822.

It is an arithmetic number, because the mean of its divisors is an integer number (6889006).

Almost surely, 2^106193712 is an apocalyptic number.

106193712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106193712 is an abundant number, since it is smaller than the sum of its proper divisors (169366528).

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

106193712 is a wasteful number, since it uses less digits than its factorization.

106193712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 106193712 is about 10305.0333332794. The cubic root of 106193712 is about 473.5504648627.

The spelling of 106193712 in words is "one hundred six million, one hundred ninety-three thousand, seven hundred twelve".