105166415880 has 256 divisors, whose sum is σ = 371669760000. Its totient is φ = 26376503040.

The previous prime is 105166415873. The next prime is 105166415897. The reversal of 105166415880 is 88514661501.

105166415880 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 64 + 1 + 588 + 0 = 666.

It is a super-2 number, since 2×105166415880² (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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2833845 + ... + 2870715.

It is an arithmetic number, because the mean of its divisors is an integer number (1451835000).

Almost surely, 2^105166415880 is an apocalyptic number.

105166415880 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 105166415880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185834880000).

105166415880 is an abundant number, since it is smaller than the sum of its proper divisors (266503344120).

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

105166415880 is a wasteful number, since it uses less digits than its factorization.

105166415880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37049 (or 37039 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 105166415880 in words is "one hundred five billion, one hundred sixty-six million, four hundred fifteen thousand, eight hundred eighty".