103523044464 has 320 divisors, whose sum is σ = 348657684480. Its totient is φ = 28792350720.

The previous prime is 103523044451. The next prime is 103523044487. The reversal of 103523044464 is 464440325301.

103523044464 is a `hidden beast` number, since 103 + 52 + 3 + 0 + 44 + 464 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93855337 + ... + 93856439.

It is an arithmetic number, because the mean of its divisors is an integer number (1089555264).

Almost surely, 2^103523044464 is an apocalyptic number.

103523044464 is a gapful number since it is divisible by the number (14) 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 103523044464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174328842240).

103523044464 is an abundant number, since it is smaller than the sum of its proper divisors (245134640016).

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

103523044464 is a wasteful number, since it uses less digits than its factorization.

103523044464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 103523044464 its reverse (464440325301), we get a palindrome (567963369765).

The spelling of 103523044464 in words is "one hundred three billion, five hundred twenty-three million, forty-four thousand, four hundred sixty-four".