103484574336 has 768 divisors, whose sum is σ = 350067916800. Its totient is φ = 26824089600.

The previous prime is 103484574331. The next prime is 103484574377. The reversal of 103484574336 is 633475484301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (103484574331) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 814839105 + ... + 814839231.

It is an arithmetic number, because the mean of its divisors is an integer number (455817600).

Almost surely, 2^103484574336 is an apocalyptic number.

103484574336 is a gapful number since it is divisible by the number (16) 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 103484574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175033958400).

103484574336 is an abundant number, since it is smaller than the sum of its proper divisors (246583342464).

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

103484574336 is a wasteful number, since it uses less digits than its factorization.

103484574336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 103484574336 in words is "one hundred three billion, four hundred eighty-four million, five hundred seventy-four thousand, three hundred thirty-six".