105994330548480 has 2160 divisors, whose sum is σ = 428557388212800. Its totient is φ = 24981657845760.

The previous prime is 105994330548467. The next prime is 105994330548499. The reversal of 105994330548480 is 84845033499501.

105994330548480 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 9 + 4 + 3 + 3 + 0 + 548 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×105994330548480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 188267016679 + ... + 188267017241.

Almost surely, 2^{105994330548480} is an apocalyptic number.

105994330548480 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 105994330548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214278694106400).

105994330548480 is an abundant number, since it is smaller than the sum of its proper divisors (322563057664320).

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

105994330548480 is a wasteful number, since it uses less digits than its factorization.

105994330548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 105994330548480 in words is "one hundred five trillion, nine hundred ninety-four billion, three hundred thirty million, five hundred forty-eight thousand, four hundred eighty".