102280976382976 has 88 divisors (see below), whose sum is σ = 216802573506576. Its totient is φ = 48062562631680.

The previous prime is 102280976382967. The next prime is 102280976382983. The reversal of 102280976382976 is 679283679082201.

It is a super-3 number, since 3×102280976382976³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7777470 + ... + 16280386.

Almost surely, 2^{102280976382976} is an apocalyptic number.

102280976382976 is a gapful number since it is divisible by the number (16) 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 102280976382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108401286753288).

102280976382976 is an abundant number, since it is smaller than the sum of its proper divisors (114521597123600).

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

102280976382976 is an equidigital number, since it uses as much as digits as its factorization.

102280976382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503645 (or 8503627 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 70.

The spelling of 102280976382976 in words is "one hundred two trillion, two hundred eighty billion, nine hundred seventy-six million, three hundred eighty-two thousand, nine hundred seventy-six".