105060791040 has 288 divisors, whose sum is σ = 353556403200. Its totient is φ = 26535641088.

The previous prime is 105060791009. The next prime is 105060791057. The reversal of 105060791040 is 40197060501.

It is a super-3 number, since 3×105060791040³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105060790992 and 105060791010.

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, 9091186 + ... + 9102734.

It is an arithmetic number, because the mean of its divisors is an integer number (1227626400).

Almost surely, 2^105060791040 is an apocalyptic number.

105060791040 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 105060791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176778201600).

105060791040 is an abundant number, since it is smaller than the sum of its proper divisors (248495612160).

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

105060791040 is a wasteful number, since it uses less digits than its factorization.

105060791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11699 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 105060791040 in words is "one hundred five billion, sixty million, seven hundred ninety-one thousand, forty".