106091642880 has 216 divisors, whose sum is σ = 367803406152. Its totient is φ = 28289531904.

The previous prime is 106091642879. The next prime is 106091642947. The reversal of 106091642880 is 88246190601.

106091642880 is a `hidden beast` number, since 1 + 0 + 60 + 91 + 6 + 428 + 80 = 666.

It is a super-2 number, since 2×106091642880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5889247 + ... + 5907233.

It is an arithmetic number, because the mean of its divisors is an integer number (1702793547).

Almost surely, 2^106091642880 is an apocalyptic number.

106091642880 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 106091642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183901703076).

106091642880 is an abundant number, since it is smaller than the sum of its proper divisors (261711763272).

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

106091642880 is an frugal number, since it uses more digits than its factorization.

106091642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 106091642880 in words is "one hundred six billion, ninety-one million, six hundred forty-two thousand, eight hundred eighty".