106188768 has 72 divisors (see below), whose sum is σ = 345120048. Its totient is φ = 30339072.

The previous prime is 106188763. The next prime is 106188829. The reversal of 106188768 is 867881601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106188768² = 22552108898715648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106188763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24321 + ... + 28352.

It is an arithmetic number, because the mean of its divisors is an integer number (4793334).

Almost surely, 2^106188768 is an apocalyptic number.

106188768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106188768 is an abundant number, since it is smaller than the sum of its proper divisors (238931280).

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

106188768 is a wasteful number, since it uses less digits than its factorization.

106188768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52696 (or 52685 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 106188768 is about 10304.7934477116. The cubic root of 106188768 is about 473.5431158091.

The spelling of 106188768 in words is "one hundred six million, one hundred eighty-eight thousand, seven hundred sixty-eight".