105088016520 has 320 divisors, whose sum is σ = 356975942400. Its totient is φ = 27726727680.

The previous prime is 105088016491. The next prime is 105088016521. The reversal of 105088016520 is 25610880501.

105088016520 is a `hidden beast` number, since 1 + 0 + 50 + 8 + 80 + 1 + 6 + 520 = 666.

It is a super-2 number, since 2×105088016520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105088016521) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 194247450 + ... + 194247990.

It is an arithmetic number, because the mean of its divisors is an integer number (1115549820).

Almost surely, 2^105088016520 is an apocalyptic number.

105088016520 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 105088016520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178487971200).

105088016520 is an abundant number, since it is smaller than the sum of its proper divisors (251887925880).

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

105088016520 is a wasteful number, since it uses less digits than its factorization.

105088016520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 105088016520 in words is "one hundred five billion, eighty-eight million, sixteen thousand, five hundred twenty".