102125306261664 has 288 divisors, whose sum is σ = 346123044933120. Its totient is φ = 29015646895872.

The previous prime is 102125306261659. The next prime is 102125306261681. The reversal of 102125306261664 is 466162603521201.

102125306261664 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 5 + 3 + 0 + 626 + 16 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4502547 + ... + 14984109.

It is an arithmetic number, because the mean of its divisors is an integer number (1201816128240).

Almost surely, 2^{102125306261664} is an apocalyptic number.

102125306261664 is a gapful number since it is divisible by the number (14) 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 102125306261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173061522466560).

102125306261664 is an abundant number, since it is smaller than the sum of its proper divisors (243997738671456).

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

102125306261664 is a wasteful number, since it uses less digits than its factorization.

102125306261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481774 (or 10481754 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 102125306261664 its reverse (466162603521201), we get a palindrome (568287909782865).

The spelling of 102125306261664 in words is "one hundred two trillion, one hundred twenty-five billion, three hundred six million, two hundred sixty-one thousand, six hundred sixty-four".