105152005840896 has 3584 divisors, whose sum is σ = 414014945034240. Its totient is φ = 26005292974080.

The previous prime is 105152005840877. The next prime is 105152005840943. The reversal of 105152005840896 is 698048500251501.

105152005840896 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 52 + 0 + 0 + 584 + 0 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×105152005840896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2445395484651 + ... + 2445395484693.

Almost surely, 2^{105152005840896} is an apocalyptic number.

105152005840896 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 105152005840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207007472517120).

105152005840896 is an abundant number, since it is smaller than the sum of its proper divisors (308862939193344).

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

105152005840896 is an frugal number, since it uses more digits than its factorization.

105152005840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 105152005840896 in words is "one hundred five trillion, one hundred fifty-two billion, five million, eight hundred forty thousand, eight hundred ninety-six".