102888401265664 has 165 divisors, whose sum is σ = 239978532739857. Its totient is φ = 44088212754432.

The previous prime is 102888401265653. The next prime is 102888401265697. The reversal of 102888401265664 is 466562104888201.

It is a happy number.

The square root of 102888401265664 is 10143392.

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

It can be written as a sum of positive squares in only one way, i.e., 5305614705664 + 97582786560000 = 2303392^2 + 9878400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15904835422 + ... + 15904841890.

Almost surely, 2^{102888401265664} is an apocalyptic number.

102888401265664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102888401265664 is the 10143392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102888401265664

102888401265664 is an abundant number, since it is smaller than the sum of its proper divisors (137090131474193).

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

102888401265664 is an frugal number, since it uses more digits than its factorization.

102888401265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 61.

The spelling of 102888401265664 in words is "one hundred two trillion, eight hundred eighty-eight billion, four hundred one million, two hundred sixty-five thousand, six hundred sixty-four".