102976032480 has 192 divisors, whose sum is σ = 331889757696. Its totient is φ = 26830080000.

The previous prime is 102976032461. The next prime is 102976032491. The reversal of 102976032480 is 84230679201.

102976032480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 4409635 + ... + 4432925.

It is an arithmetic number, because the mean of its divisors is an integer number (1728592488).

Almost surely, 2^102976032480 is an apocalyptic number.

102976032480 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 102976032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165944878848).

102976032480 is an abundant number, since it is smaller than the sum of its proper divisors (228913725216).

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

102976032480 is a wasteful number, since it uses less digits than its factorization.

102976032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23521 (or 23513 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 102976032480 in words is "one hundred two billion, nine hundred seventy-six million, thirty-two thousand, four hundred eighty".