103009842407880 has 320 divisors, whose sum is σ = 356795961540480. Its totient is φ = 26638827955200.

The previous prime is 103009842407869. The next prime is 103009842407897. The reversal of 103009842407880 is 88704248900301.

It is a happy number.

103009842407880 is a `hidden beast` number, since 1 + 0 + 30 + 0 + 98 + 42 + 407 + 8 + 80 = 666.

It is a super-2 number, since 2×103009842407880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19862595 + ... + 24505965.

It is an arithmetic number, because the mean of its divisors is an integer number (1114987379814).

Almost surely, 2^{103009842407880} is an apocalyptic number.

103009842407880 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 103009842407880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178397980770240).

103009842407880 is an abundant number, since it is smaller than the sum of its proper divisors (253786119132600).

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

103009842407880 is a wasteful number, since it uses less digits than its factorization.

103009842407880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643602 (or 4643589 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 103009842407880 in words is "one hundred three trillion, nine billion, eight hundred forty-two million, four hundred seven thousand, eight hundred eighty".