103480564500 has 192 divisors, whose sum is σ = 352439942400. Its totient is φ = 26142393600.

The previous prime is 103480564433. The next prime is 103480564511. The reversal of 103480564500 is 5465084301.

It is a happy number.

103480564500 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 8 + 0 + 5 + 645 + 0 + 0 = 666.

It is a super-3 number, since 3×103480564500³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54784 + ... + 458216.

It is an arithmetic number, because the mean of its divisors is an integer number (1835624700).

Almost surely, 2^103480564500 is an apocalyptic number.

103480564500 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 103480564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176219971200).

103480564500 is an abundant number, since it is smaller than the sum of its proper divisors (248959377900).

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

103480564500 is a wasteful number, since it uses less digits than its factorization.

103480564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403480 (or 403462 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 103480564500 in words is "one hundred three billion, four hundred eighty million, five hundred sixty-four thousand, five hundred".