106043680260 has 216 divisors, whose sum is σ = 374509699200. Its totient is φ = 24217377408.

The previous prime is 106043680247. The next prime is 106043680261. The reversal of 106043680260 is 62086340601.

106043680260 is a `hidden beast` number, since 10 + 604 + 36 + 8 + 0 + 2 + 6 + 0 = 666.

It is a super-2 number, since 2×106043680260² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106043680261) 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 71 ways as a sum of consecutive naturals, for example, 11523141 + ... + 11532339.

It is an arithmetic number, because the mean of its divisors is an integer number (1733841200).

Almost surely, 2^106043680260 is an apocalyptic number.

106043680260 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 106043680260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187254849600).

106043680260 is an abundant number, since it is smaller than the sum of its proper divisors (268466018940).

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

106043680260 is a wasteful number, since it uses less digits than its factorization.

106043680260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106043680260 in words is "one hundred six billion, forty-three million, six hundred eighty thousand, two hundred sixty".