105627600016 has 45 divisors (see below), whose sum is σ = 211548871929. Its totient is φ = 51090628800.

The previous prime is 105627599971. The next prime is 105627600031. The reversal of 105627600016 is 610006726501.

It is a happy number.

The square root of 105627600016 is 325004.

It is a perfect power (a square), and thus also a powerful number.

105627600016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 87022640016 + 18604960000 = 294996^2 + 136400^2 .

It is a super-2 number, since 2×105627600016² (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 8 ways as a sum of consecutive naturals, for example, 40299186 + ... + 40301806.

Almost surely, 2^105627600016 is an apocalyptic number.

105627600016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105627600016 is the 325004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105627600016

105627600016 is an abundant number, since it is smaller than the sum of its proper divisors (105921271913).

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

105627600016 is an frugal number, since it uses more digits than its factorization.

105627600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 105627600016 in words is "one hundred five billion, six hundred twenty-seven million, six hundred thousand, sixteen".