103316505600 has 528 divisors, whose sum is σ = 425748750336. Its totient is φ = 21467136000.

The previous prime is 103316505587. The next prime is 103316505613. The reversal of 103316505600 is 6505613301.

It is an interprime number because it is at equal distance from previous prime (103316505587) and next prime (103316505613).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5904865 + ... + 5922335.

Almost surely, 2^103316505600 is an apocalyptic number.

103316505600 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 103316505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212874375168).

103316505600 is an abundant number, since it is smaller than the sum of its proper divisors (322432244736).

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

103316505600 is a wasteful number, since it uses less digits than its factorization.

103316505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17522 (or 17499 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 103316505600 in words is "one hundred three billion, three hundred sixteen million, five hundred five thousand, six hundred".