103073255040 has 512 divisors, whose sum is σ = 397774540800. Its totient is φ = 22176792576.

The previous prime is 103073255003. The next prime is 103073255053. The reversal of 103073255040 is 40552370301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103073254989 and 103073255007.

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, 42643912 + ... + 42646328.

It is an arithmetic number, because the mean of its divisors is an integer number (776903400).

Almost surely, 2^103073255040 is an apocalyptic number.

103073255040 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 103073255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198887270400).

103073255040 is an abundant number, since it is smaller than the sum of its proper divisors (294701285760).

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

103073255040 is a wasteful number, since it uses less digits than its factorization.

103073255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The spelling of 103073255040 in words is "one hundred three billion, seventy-three million, two hundred fifty-five thousand, forty".