102611748128 has 54 divisors (see below), whose sum is σ = 214663689513. Its totient is φ = 48273384960.

The previous prime is 102611748103. The next prime is 102611748131. The reversal of 102611748128 is 821847116201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 93912828304 + 8698919824 = 306452^2 + 93268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226508.

It is a super-2 number, since 2×102611748128² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30803423 + ... + 30806753.

Almost surely, 2^102611748128 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 102611748128

102611748128 is an abundant number, since it is smaller than the sum of its proper divisors (112051941385).

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

102611748128 is an frugal number, since it uses more digits than its factorization.

102611748128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The spelling of 102611748128 in words is "one hundred two billion, six hundred eleven million, seven hundred forty-eight thousand, one hundred twenty-eight".