103003254464040 has 960 divisors, whose sum is σ = 426734295926400. Its totient is φ = 22156654464000.

The previous prime is 103003254464009. The next prime is 103003254464153. The reversal of 103003254464040 is 40464452300301.

103003254464040 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 3 + 2 + 5 + 4 + 4 + 640 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103003254463986 and 103003254464004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 455369370 + ... + 455595510.

It is an arithmetic number, because the mean of its divisors is an integer number (444514891590).

Almost surely, 2^{103003254464040} is an apocalyptic number.

103003254464040 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 103003254464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213367147963200).

103003254464040 is an abundant number, since it is smaller than the sum of its proper divisors (323731041462360).

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

103003254464040 is a wasteful number, since it uses less digits than its factorization.

103003254464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226348 (or 226328 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 103003254464040 in words is "one hundred three trillion, three billion, two hundred fifty-four million, four hundred sixty-four thousand, forty".