103485548160 has 640 divisors, whose sum is σ = 382086104400. Its totient is φ = 26674790400.

The previous prime is 103485548123. The next prime is 103485548167. The reversal of 103485548160 is 61845584301.

103485548160 is a `hidden beast` number, since 1 + 0 + 3 + 48 + 5 + 548 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2986403904 + 100499144256 = 54648^2 + 317016^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103485548167) 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 79 ways as a sum of consecutive naturals, for example, 384704506 + ... + 384704774.

Almost surely, 2^103485548160 is an apocalyptic number.

103485548160 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 103485548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191043052200).

103485548160 is an abundant number, since it is smaller than the sum of its proper divisors (278600556240).

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

103485548160 is a wasteful number, since it uses less digits than its factorization.

103485548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 103485548160 in words is "one hundred three billion, four hundred eighty-five million, five hundred forty-eight thousand, one hundred sixty".