102655389408 has 576 divisors, whose sum is σ = 345198712320. Its totient is φ = 26440888320.

The previous prime is 102655389373. The next prime is 102655389409. The reversal of 102655389408 is 804983556201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102655389409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106158141 + ... + 106159107.

It is an arithmetic number, because the mean of its divisors is an integer number (599303320).

Almost surely, 2^102655389408 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 102655389408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172599356160).

102655389408 is an abundant number, since it is smaller than the sum of its proper divisors (242543322912).

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

102655389408 is a wasteful number, since it uses less digits than its factorization.

102655389408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 102655389408 in words is "one hundred two billion, six hundred fifty-five million, three hundred eighty-nine thousand, four hundred eight".