103807484928 has 528 divisors, whose sum is σ = 361442949504. Its totient is φ = 29143203840.

The previous prime is 103807484909. The next prime is 103807484933. The reversal of 103807484928 is 829484708301.

It is a happy number.

103807484928 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 74 + 8 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 106250776 + ... + 106251752.

Almost surely, 2^103807484928 is an apocalyptic number.

103807484928 is a gapful number since it is divisible by the number (18) 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 103807484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180721474752).

103807484928 is an abundant number, since it is smaller than the sum of its proper divisors (257635464576).

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

103807484928 is an frugal number, since it uses more digits than its factorization.

103807484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 103807484928 in words is "one hundred three billion, eight hundred seven million, four hundred eighty-four thousand, nine hundred twenty-eight".