10102550603616 has 576 divisors, whose sum is σ = 32023492300800. Its totient is φ = 3006572608512.

The previous prime is 10102550603611. The next prime is 10102550603633. The reversal of 10102550603616 is 61630605520101.

10102550603616 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 550 + 60 + 36 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102550603611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4585813971 + ... + 4585816173.

It is an arithmetic number, because the mean of its divisors is an integer number (55596340800).

Almost surely, 2^{10102550603616} is an apocalyptic number.

10102550603616 is a gapful number since it is divisible by the number (16) 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 10102550603616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011746150400).

10102550603616 is an abundant number, since it is smaller than the sum of its proper divisors (21920941697184).

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

10102550603616 is a wasteful number, since it uses less digits than its factorization.

10102550603616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10102550603616 in words is "ten trillion, one hundred two billion, five hundred fifty million, six hundred three thousand, six hundred sixteen".