106094768 has 80 divisors (see below), whose sum is σ = 235151616. Its totient is φ = 45999360.

The previous prime is 106094761. The next prime is 106094771. The reversal of 106094768 is 867490601.

It is a super-2 number, since 2×106094768² = 22512199593947648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106094761) by changing a digit.

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, 320363 + ... + 320693.

Almost surely, 2^106094768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106094768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117575808).

106094768 is an abundant number, since it is smaller than the sum of its proper divisors (129056848).

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

106094768 is a wasteful number, since it uses less digits than its factorization.

106094768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 106094768 is about 10300.2314537102. The cubic root of 106094768 is about 473.4033452391.

The spelling of 106094768 in words is "one hundred six million, ninety-four thousand, seven hundred sixty-eight".