106092866880 has 2688 divisors, whose sum is σ = 536806932480. Its totient is φ = 19229736960.

The previous prime is 106092866863. The next prime is 106092866899. The reversal of 106092866880 is 88668290601.

It is a happy number.

106092866880 is a `hidden beast` number, since 1 + 0 + 609 + 28 + 6 + 6 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×106092866880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2257295017 + ... + 2257295063.

It is an arithmetic number, because the mean of its divisors is an integer number (199704960).

Almost surely, 2^106092866880 is an apocalyptic number.

106092866880 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 106092866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268403466240).

106092866880 is an abundant number, since it is smaller than the sum of its proper divisors (430714065600).

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

106092866880 is a wasteful number, since it uses less digits than its factorization.

106092866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

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

The spelling of 106092866880 in words is "one hundred six billion, ninety-two million, eight hundred sixty-six thousand, eight hundred eighty".