103581134464 has 32 divisors (see below), whose sum is σ = 217213732800. Its totient is φ = 49064746752.

The previous prime is 103581134443. The next prime is 103581134467. The reversal of 103581134464 is 464431185301.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×103581134464³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103581134467) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21293032 + ... + 21297895.

It is an arithmetic number, because the mean of its divisors is an integer number (6787929150).

Almost surely, 2^103581134464 is an apocalyptic number.

It is an amenable number.

103581134464 is an abundant number, since it is smaller than the sum of its proper divisors (113632598336).

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

103581134464 is an equidigital number, since it uses as much as digits as its factorization.

103581134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42590960 (or 42590948 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 103581134464 in words is "one hundred three billion, five hundred eighty-one million, one hundred thirty-four thousand, four hundred sixty-four".