105426510216 has 128 divisors (see below), whose sum is σ = 275768064000. Its totient is φ = 33544288512.

The previous prime is 105426510209. The next prime is 105426510253. The reversal of 105426510216 is 612015624501.

It is a super-2 number, since 2×105426510216² (a number of 23 digits) contains 22 as substring.

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, 46097025 + ... + 46099311.

It is an arithmetic number, because the mean of its divisors is an integer number (2154438000).

Almost surely, 2^105426510216 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 105426510216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032000).

105426510216 is an abundant number, since it is smaller than the sum of its proper divisors (170341553784).

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

105426510216 is a wasteful number, since it uses less digits than its factorization.

105426510216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 105426510216 in words is "one hundred five billion, four hundred twenty-six million, five hundred ten thousand, two hundred sixteen".