103337965500 has 384 divisors, whose sum is σ = 383916589056. Its totient is φ = 20972448000.

The previous prime is 103337965481. The next prime is 103337965517. The reversal of 103337965500 is 5569733301.

103337965500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103337965500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4956097 + ... + 4976903.

It is an arithmetic number, because the mean of its divisors is an integer number (999782784).

Almost surely, 2^103337965500 is an apocalyptic number.

103337965500 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 103337965500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191958294528).

103337965500 is an abundant number, since it is smaller than the sum of its proper divisors (280578623556).

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

103337965500 is a wasteful number, since it uses less digits than its factorization.

103337965500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20890 (or 20878 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 42.

The spelling of 103337965500 in words is "one hundred three billion, three hundred thirty-seven million, nine hundred sixty-five thousand, five hundred".