251106102016 has 288 divisors, whose sum is σ = 648481075200. Its totient is φ = 94165155840.

The previous prime is 251106102001. The next prime is 251106102029. The reversal of 251106102016 is 610201601152.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290968401 + ... + 290969263.

It is an arithmetic number, because the mean of its divisors is an integer number (2251670400).

Almost surely, 2^251106102016 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 251106102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324240537600).

251106102016 is an abundant number, since it is smaller than the sum of its proper divisors (397374973184).

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

251106102016 is a wasteful number, since it uses less digits than its factorization.

251106102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 251106102016 its reverse (610201601152), we get a palindrome (861307703168).

The spelling of 251106102016 in words is "two hundred fifty-one billion, one hundred six million, one hundred two thousand, sixteen".