105066680880 has 160 divisors (see below), whose sum is σ = 388420568064. Its totient is φ = 22971091968.

The previous prime is 105066680861. The next prime is 105066680911. The reversal of 105066680880 is 88086660501.

It is a happy number.

It is a super-2 number, since 2×105066680880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1320919 + ... + 1398198.

Almost surely, 2^105066680880 is an apocalyptic number.

105066680880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105066680880 is an abundant number, since it is smaller than the sum of its proper divisors (283353887184).

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

105066680880 is a wasteful number, since it uses less digits than its factorization.

105066680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719163 (or 2719157 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 105066680880 in words is "one hundred five billion, sixty-six million, six hundred eighty thousand, eight hundred eighty".