106266888 has 192 divisors, whose sum is σ = 362544000. Its totient is φ = 27941760.

The previous prime is 106266857. The next prime is 106266893. The reversal of 106266888 is 888662601.

106266888 is a `hidden beast` number, since 10 + 626 + 6 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×106266888² = 22585302970409088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320883 + ... + 321213.

It is an arithmetic number, because the mean of its divisors is an integer number (1888250).

Almost surely, 2^106266888 is an apocalyptic number.

106266888 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 106266888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181272000).

106266888 is an abundant number, since it is smaller than the sum of its proper divisors (256277112).

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

106266888 is a wasteful number, since it uses less digits than its factorization.

106266888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 106266888 is about 10308.5832198222. The cubic root of 106266888 is about 473.6592113278.

The spelling of 106266888 in words is "one hundred six million, two hundred sixty-six thousand, eight hundred eighty-eight".