106267896 has 128 divisors (see below), whose sum is σ = 342720000. Its totient is φ = 29880576.

The previous prime is 106267891. The next prime is 106267913. The reversal of 106267896 is 698762601.

106267896 is a `hidden beast` number, since 10 + 626 + 7 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×106267896² = 22585731440533632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106267891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100780 + ... + 101828.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^106267896 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 106267896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360000).

106267896 is an abundant number, since it is smaller than the sum of its proper divisors (236452104).

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

106267896 is a wasteful number, since it uses less digits than its factorization.

106267896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 106267896 is about 10308.6321110029. The cubic root of 106267896 is about 473.6607089627.

The spelling of 106267896 in words is "one hundred six million, two hundred sixty-seven thousand, eight hundred ninety-six".