102880109629440 has 2080 divisors, whose sum is σ = 439809327974016. Its totient is φ = 22675005112320.

The previous prime is 102880109629369. The next prime is 102880109629481. The reversal of 102880109629440 is 44926901088201.

It is a happy number.

102880109629440 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 8 + 0 + 1 + 0 + 9 + 629 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-2 number, since 2×102880109629440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15893726044 + ... + 15893732516.

Almost surely, 2^{102880109629440} is an apocalyptic number.

102880109629440 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 102880109629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219904663987008).

102880109629440 is an abundant number, since it is smaller than the sum of its proper divisors (336929218344576).

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

102880109629440 is a wasteful number, since it uses less digits than its factorization.

102880109629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 102880109629440 in words is "one hundred two trillion, eight hundred eighty billion, one hundred nine million, six hundred twenty-nine thousand, four hundred forty".