105060150551616 has 224 divisors, whose sum is σ = 304773023493120. Its totient is φ = 31742270171136.

The previous prime is 105060150551599. The next prime is 105060150551623. The reversal of 105060150551616 is 616155051060501.

It is a super-2 number, since 2×105060150551616² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129630141 + ... + 130438083.

It is an arithmetic number, because the mean of its divisors is an integer number (1360593854880).

Almost surely, 2^{105060150551616} is an apocalyptic number.

105060150551616 is a gapful number since it is divisible by the number (16) 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 105060150551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152386511746560).

105060150551616 is an abundant number, since it is smaller than the sum of its proper divisors (199712872941504).

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

105060150551616 is a wasteful number, since it uses less digits than its factorization.

105060150551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808913 (or 808903 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 105060150551616 in words is "one hundred five trillion, sixty billion, one hundred fifty million, five hundred fifty-one thousand, six hundred sixteen".