103432485960 has 192 divisors, whose sum is σ = 364611527280. Its totient is φ = 25326305280.

The previous prime is 103432485911. The next prime is 103432485991. The reversal of 103432485960 is 69584234301.

103432485960 is a `hidden beast` number, since 1 + 0 + 34 + 3 + 24 + 8 + 596 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69597826596 + 33834659364 = 263814^2 + 183942^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44814 + ... + 457026.

Almost surely, 2^103432485960 is an apocalyptic number.

103432485960 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 103432485960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182305763640).

103432485960 is an abundant number, since it is smaller than the sum of its proper divisors (261179041320).

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

103432485960 is a wasteful number, since it uses less digits than its factorization.

103432485960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412288 (or 412281 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 103432485960 in words is "one hundred three billion, four hundred thirty-two million, four hundred eighty-five thousand, nine hundred sixty".