103475877120 has 1728 divisors, whose sum is σ = 476061401088. Its totient is φ = 20127744000.

The previous prime is 103475877103. The next prime is 103475877139. The reversal of 103475877120 is 21778574301.

103475877120 is a `hidden beast` number, since 1 + 0 + 3 + 47 + 587 + 7 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1457406685 + ... + 1457406755.

It is an arithmetic number, because the mean of its divisors is an integer number (275498496).

Almost surely, 2^103475877120 is an apocalyptic number.

103475877120 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 103475877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238030700544).

103475877120 is an abundant number, since it is smaller than the sum of its proper divisors (372585523968).

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

103475877120 is a wasteful number, since it uses less digits than its factorization.

103475877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 103475877120 in words is "one hundred three billion, four hundred seventy-five million, eight hundred seventy-seven thousand, one hundred twenty".