180106121160 has 640 divisors, whose sum is σ = 724615372800. Its totient is φ = 39230231040.

The previous prime is 180106121149. The next prime is 180106121171. The reversal of 180106121160 is 61121601081.

It is an interprime number because it is at equal distance from previous prime (180106121149) and next prime (180106121171).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197701105 + ... + 197702015.

It is an arithmetic number, because the mean of its divisors is an integer number (1132211520).

Almost surely, 2^180106121160 is an apocalyptic number.

180106121160 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 180106121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362307686400).

180106121160 is an abundant number, since it is smaller than the sum of its proper divisors (544509251640).

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

180106121160 is a wasteful number, since it uses less digits than its factorization.

180106121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 180106121160 in words is "one hundred eighty billion, one hundred six million, one hundred twenty-one thousand, one hundred sixty".