103784657088 has 224 divisors, whose sum is σ = 316512903168. Its totient is φ = 29399961600.

The previous prime is 103784657069. The next prime is 103784657089. The reversal of 103784657088 is 880756487301.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (103784657089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118340106 + ... + 118340982.

It is an arithmetic number, because the mean of its divisors is an integer number (1413004032).

Almost surely, 2^103784657088 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 103784657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158256451584).

103784657088 is an abundant number, since it is smaller than the sum of its proper divisors (212728246080).

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

103784657088 is a wasteful number, since it uses less digits than its factorization.

103784657088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 103784657088 in words is "one hundred three billion, seven hundred eighty-four million, six hundred fifty-seven thousand, eighty-eight".