106198768 has 40 divisors (see below), whose sum is σ = 223784288. Its totient is φ = 48529152.

The previous prime is 106198759. The next prime is 106198793. The reversal of 106198768 is 867891601.

It is a super-2 number, since 2×106198768² = 22556356649435648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18946 + ... + 23902.

Almost surely, 2^106198768 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 106198768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111892144).

106198768 is an abundant number, since it is smaller than the sum of its proper divisors (117585520).

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

106198768 is a wasteful number, since it uses less digits than its factorization.

106198768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 106198768 is about 10305.2786473729. The cubic root of 106198768 is about 473.5579801638.

The spelling of 106198768 in words is "one hundred six million, one hundred ninety-eight thousand, seven hundred sixty-eight".