106017768 has 128 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 33566400.

The previous prime is 106017767. The next prime is 106017773. The reversal of 106017768 is 867710601.

It is a happy number.

It is a super-2 number, since 2×106017768² = 22479534263403648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106017761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475305 + ... + 475527.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^106017768 is an apocalyptic number.

106017768 is a gapful number since it is divisible by the number (18) 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 106017768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

106017768 is an abundant number, since it is smaller than the sum of its proper divisors (203639832).

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

106017768 is a wasteful number, since it uses less digits than its factorization.

106017768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 106017768 is about 10296.4929951902. The cubic root of 106017768 is about 473.2887908007.

The spelling of 106017768 in words is "one hundred six million, seventeen thousand, seven hundred sixty-eight".