103086998560 has 144 divisors (see below), whose sum is σ = 301392778176. Its totient is φ = 32625275904.

The previous prime is 103086998527. The next prime is 103086998579. The reversal of 103086998560 is 65899680301.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83034 + ... + 461593.

It is an arithmetic number, because the mean of its divisors is an integer number (2093005404).

Almost surely, 2^103086998560 is an apocalyptic number.

103086998560 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 103086998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150696389088).

103086998560 is an abundant number, since it is smaller than the sum of its proper divisors (198305779616).

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

103086998560 is a wasteful number, since it uses less digits than its factorization.

103086998560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544675 (or 544654 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 103086998560 in words is "one hundred three billion, eighty-six million, nine hundred ninety-eight thousand, five hundred sixty".