105291208028160 has 5616 divisors, whose sum is σ = 502172601315840. Its totient is φ = 20282985676800.

The previous prime is 105291208028159. The next prime is 105291208028173. The reversal of 105291208028160 is 61820802192501.

105291208028160 is a `hidden beast` number, since 1 + 0 + 5 + 291 + 2 + 0 + 80 + 281 + 6 + 0 = 666.

It is a super-2 number, since 2×105291208028160² (a number of 29 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 431 ways as a sum of consecutive naturals, for example, 1482974760925 + ... + 1482974760995.

It is an arithmetic number, because the mean of its divisors is an integer number (89418198240).

Almost surely, 2^{105291208028160} is an apocalyptic number.

105291208028160 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 105291208028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251086300657920).

105291208028160 is an abundant number, since it is smaller than the sum of its proper divisors (396881393287680).

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

105291208028160 is a wasteful number, since it uses less digits than its factorization.

105291208028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 105291208028160 in words is "one hundred five trillion, two hundred ninety-one billion, two hundred eight million, twenty-eight thousand, one hundred sixty".