103155352566420 has 384 divisors, whose sum is σ = 376211804774400. Its totient is φ = 20490833664000.

The previous prime is 103155352566349. The next prime is 103155352566533. The reversal of 103155352566420 is 24665253551301.

It is a self number, because there is not a number n which added to its sum of digits gives 103155352566420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9720441 + ... + 17343519.

It is an arithmetic number, because the mean of its divisors is an integer number (979718241600).

Almost surely, 2^{103155352566420} is an apocalyptic number.

103155352566420 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 103155352566420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188105902387200).

103155352566420 is an abundant number, since it is smaller than the sum of its proper divisors (273056452207980).

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

103155352566420 is a wasteful number, since it uses less digits than its factorization.

103155352566420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623239 (or 7623237 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 103155352566420 in words is "one hundred three trillion, one hundred fifty-five billion, three hundred fifty-two million, five hundred sixty-six thousand, four hundred twenty".