106269886080 has 384 divisors, whose sum is σ = 375636493440. Its totient is φ = 27675648000.

The previous prime is 106269886069. The next prime is 106269886087. The reversal of 106269886080 is 80688962601.

It is a happy number.

106269886080 is a `hidden beast` number, since 1 + 0 + 6 + 26 + 9 + 8 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106269886080² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106269886087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53054359 + ... + 53056361.

It is an arithmetic number, because the mean of its divisors is an integer number (978220035).

Almost surely, 2^106269886080 is an apocalyptic number.

106269886080 is a gapful number since it is divisible by the number (10) 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 106269886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187818246720).

106269886080 is an abundant number, since it is smaller than the sum of its proper divisors (269366607360).

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

106269886080 is a wasteful number, since it uses less digits than its factorization.

106269886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 106269886080 in words is "one hundred six billion, two hundred sixty-nine million, eight hundred eighty-six thousand, eighty".