103073040 has 320 divisors, whose sum is σ = 430686720. Its totient is φ = 22118400.

The previous prime is 103073029. The next prime is 103073041. The reversal of 103073040 is 40370301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103073041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256840 + ... + 257240.

It is an arithmetic number, because the mean of its divisors is an integer number (1345896).

Almost surely, 2^103073040 is an apocalyptic number.

103073040 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 103073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215343360).

103073040 is an abundant number, since it is smaller than the sum of its proper divisors (327613680).

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

103073040 is a wasteful number, since it uses less digits than its factorization.

103073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 103073040 is about 10152.4893499082. The cubic root of 103073040 is about 468.8655906937.

The spelling of 103073040 in words is "one hundred three million, seventy-three thousand, forty".