105016121016 has 128 divisors (see below), whose sum is σ = 281943244800. Its totient is φ = 32498444160.

The previous prime is 105016120987. The next prime is 105016121027. The reversal of 105016121016 is 610121610501.

It is a super-2 number, since 2×105016121016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5397081 + ... + 5416503.

It is an arithmetic number, because the mean of its divisors is an integer number (2202681600).

Almost surely, 2^105016121016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105016121016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140971622400).

105016121016 is an abundant number, since it is smaller than the sum of its proper divisors (176927123784).

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

105016121016 is a wasteful number, since it uses less digits than its factorization.

105016121016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19689 (or 19685 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 105016121016 its reverse (610121610501), we get a palindrome (715137731517).

The spelling of 105016121016 in words is "one hundred five billion, sixteen million, one hundred twenty-one thousand, sixteen".