103664104500 has 768 divisors, whose sum is σ = 374979870720. Its totient is φ = 21924864000.

The previous prime is 103664104429. The next prime is 103664104507. The reversal of 103664104500 is 5401466301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103664104507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 282463317 + ... + 282463683.

It is an arithmetic number, because the mean of its divisors is an integer number (488255040).

Almost surely, 2^103664104500 is an apocalyptic number.

103664104500 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 103664104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187489935360).

103664104500 is an abundant number, since it is smaller than the sum of its proper divisors (271315766220).

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

103664104500 is a wasteful number, since it uses less digits than its factorization.

103664104500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 103664104500 in words is "one hundred three billion, six hundred sixty-four million, one hundred four thousand, five hundred".