108961146060 has 384 divisors, whose sum is σ = 355053404160. Its totient is φ = 24729255936.

The previous prime is 108961146053. The next prime is 108961146083. The reversal of 108961146060 is 60641169801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149877417 + ... + 149878143.

It is an arithmetic number, because the mean of its divisors is an integer number (924618240).

Almost surely, 2^108961146060 is an apocalyptic number.

108961146060 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 108961146060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177526702080).

108961146060 is an abundant number, since it is smaller than the sum of its proper divisors (246092258100).

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

108961146060 is a wasteful number, since it uses less digits than its factorization.

108961146060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 108961146060 in words is "one hundred eight billion, nine hundred sixty-one million, one hundred forty-six thousand, sixty".