102038721645480 has 128 divisors (see below), whose sum is σ = 308264927385600. Its totient is φ = 27019466784000.

The previous prime is 102038721645457. The next prime is 102038721645517. The reversal of 102038721645480 is 84546127830201.

102038721645480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102038721645480³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44897725 + ... + 47115635.

It is an arithmetic number, because the mean of its divisors is an integer number (2408319745200).

Almost surely, 2^{102038721645480} is an apocalyptic number.

102038721645480 is a gapful number since it is divisible by the number (10) 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 102038721645480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154132463692800).

102038721645480 is an abundant number, since it is smaller than the sum of its proper divisors (206226205740120).

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

102038721645480 is a wasteful number, since it uses less digits than its factorization.

102038721645480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220615 (or 2220611 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 102038721645480 in words is "one hundred two trillion, thirty-eight billion, seven hundred twenty-one million, six hundred forty-five thousand, four hundred eighty".