105816003052032 has 3840 divisors, whose sum is σ = 423252910080000. Its totient is φ = 25198647312384.

The previous prime is 105816003052007. The next prime is 105816003052057. The reversal of 105816003052032 is 230250300618501.

105816003052032 is a `hidden beast` number, since 10 + 5 + 8 + 1 + 60 + 0 + 30 + 520 + 32 = 666.

105816003052032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105816003052007) and next prime (105816003052057).

It is a super-2 number, since 2×105816003052032² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1339443076569 + ... + 1339443076647.

It is an arithmetic number, because the mean of its divisors is an integer number (110222112000).

Almost surely, 2^{105816003052032} is an apocalyptic number.

105816003052032 is a gapful number since it is divisible by the number (12) 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 105816003052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211626455040000).

105816003052032 is an abundant number, since it is smaller than the sum of its proper divisors (317436907027968).

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

105816003052032 is a wasteful number, since it uses less digits than its factorization.

105816003052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105816003052032 in words is "one hundred five trillion, eight hundred sixteen billion, three million, fifty-two thousand, thirty-two".