105290714880 has 432 divisors, whose sum is σ = 397733097216. Its totient is φ = 25560023040.

The previous prime is 105290714831. The next prime is 105290714899. The reversal of 105290714880 is 88417092501.

105290714880 is a `hidden beast` number, since 1 + 0 + 529 + 0 + 7 + 1 + 48 + 80 = 666.

It is a super-2 number, since 2×105290714880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10927665 + ... + 10937295.

Almost surely, 2^105290714880 is an apocalyptic number.

105290714880 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 105290714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198866548608).

105290714880 is an abundant number, since it is smaller than the sum of its proper divisors (292442382336).

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

105290714880 is a wasteful number, since it uses less digits than its factorization.

105290714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 105290714880 in words is "one hundred five billion, two hundred ninety million, seven hundred fourteen thousand, eight hundred eighty".