103038945048 has 256 divisors, whose sum is σ = 316309593600. Its totient is φ = 30878184960.

The previous prime is 103038945019. The next prime is 103038945103. The reversal of 103038945048 is 840549830301.

103038945048 is a `hidden beast` number, since 103 + 0 + 38 + 9 + 4 + 504 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103038944994 and 103038945012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50832211 + ... + 50834237.

It is an arithmetic number, because the mean of its divisors is an integer number (1235584350).

Almost surely, 2^103038945048 is an apocalyptic number.

103038945048 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 103038945048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158154796800).

103038945048 is an abundant number, since it is smaller than the sum of its proper divisors (213270648552).

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

103038945048 is a wasteful number, since it uses less digits than its factorization.

103038945048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 103038945048 in words is "one hundred three billion, thirty-eight million, nine hundred forty-five thousand, forty-eight".