103031392780800 has 960 divisors, whose sum is σ = 434268587174400. Its totient is φ = 23662695628800.

The previous prime is 103031392780787. The next prime is 103031392780831. The reversal of 103031392780800 is 8087293130301.

It is a happy number.

103031392780800 is a `hidden beast` number, since 103 + 0 + 3 + 1 + 392 + 7 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71517187 + ... + 72943613.

It is an arithmetic number, because the mean of its divisors is an integer number (452363111640).

Almost surely, 2^{103031392780800} is an apocalyptic number.

103031392780800 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 103031392780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217134293587200).

103031392780800 is an abundant number, since it is smaller than the sum of its proper divisors (331237194393600).

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

103031392780800 is a wasteful number, since it uses less digits than its factorization.

103031392780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426494 (or 1426467 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 103031392780800 in words is "one hundred three trillion, thirty-one billion, three hundred ninety-two million, seven hundred eighty thousand, eight hundred".