10102235616 has 144 divisors (see below), whose sum is σ = 32069157120. Its totient is φ = 2990050560.

The previous prime is 10102235603. The next prime is 10102235641. The reversal of 10102235616 is 61653220101.

10102235616 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 2 + 35 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 10102235616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99145 + ... + 173303.

It is an arithmetic number, because the mean of its divisors is an integer number (222702480).

Almost surely, 2^10102235616 is an apocalyptic number.

10102235616 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 10102235616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034578560).

10102235616 is an abundant number, since it is smaller than the sum of its proper divisors (21966921504).

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

10102235616 is a wasteful number, since it uses less digits than its factorization.

10102235616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74229 (or 74218 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10102235616 its reverse (61653220101), we get a palindrome (71755455717).

The spelling of 10102235616 in words is "ten billion, one hundred two million, two hundred thirty-five thousand, six hundred sixteen".