106666896 has 80 divisors (see below), whose sum is σ = 316043264. Its totient is φ = 30367872.

The previous prime is 106666873. The next prime is 106666907. The reversal of 106666896 is 698666601.

It is a happy number.

It is a super-2 number, since 2×106666896² = 22755653404549632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175425 + ... + 176031.

Almost surely, 2^106666896 is an apocalyptic number.

106666896 is a gapful number since it is divisible by the number (16) 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 106666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158021632).

106666896 is an abundant number, since it is smaller than the sum of its proper divisors (209376368).

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

106666896 is a wasteful number, since it uses less digits than its factorization.

106666896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 106666896 is about 10327.9666924327. The cubic root of 106666896 is about 474.2527804793.

The spelling of 106666896 in words is "one hundred six million, six hundred sixty-six thousand, eight hundred ninety-six".