106496768 has 72 divisors (see below), whose sum is σ = 246849792. Its totient is φ = 44909568.

The previous prime is 106496759. The next prime is 106496833. The reversal of 106496768 is 867694601.

It is a happy number.

It is a super-2 number, since 2×106496768² = 22683123188891648, which contains 22 as substring.

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, 119621 + ... + 120507.

Almost surely, 2^106496768 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 106496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123424896).

106496768 is an abundant number, since it is smaller than the sum of its proper divisors (140353024).

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

106496768 is an frugal number, since it uses more digits than its factorization.

106496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 106496768 is about 10319.7271281754. The cubic root of 106496768 is about 474.0005103640. Note that the first 3 decimals are identical.

The spelling of 106496768 in words is "one hundred six million, four hundred ninety-six thousand, seven hundred sixty-eight".