103153259642880 has 288 divisors, whose sum is σ = 330186632235264. Its totient is φ = 27499415207936.

The previous prime is 103153259642833. The next prime is 103153259642899. The reversal of 103153259642880 is 88246952351301.

It is a self number, because there is not a number n which added to its sum of digits gives 103153259642880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9836292997 + ... + 9836303483.

It is an arithmetic number, because the mean of its divisors is an integer number (1146481361928).

Almost surely, 2^{103153259642880} is an apocalyptic number.

103153259642880 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 103153259642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165093316117632).

103153259642880 is an abundant number, since it is smaller than the sum of its proper divisors (227033372592384).

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

103153259642880 is an frugal number, since it uses more digits than its factorization.

103153259642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15532 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 103153259642880 in words is "one hundred three trillion, one hundred fifty-three billion, two hundred fifty-nine million, six hundred forty-two thousand, eight hundred eighty".