103251028849800 has 384 divisors, whose sum is σ = 346395798000000. Its totient is φ = 25290871603200.

The previous prime is 103251028849789. The next prime is 103251028849873. The reversal of 103251028849800 is 8948820152301.

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, 1336561576 + ... + 1336638824.

It is an arithmetic number, because the mean of its divisors is an integer number (902072390625).

Almost surely, 2^{103251028849800} is an apocalyptic number.

103251028849800 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 103251028849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173197899000000).

103251028849800 is an abundant number, since it is smaller than the sum of its proper divisors (243144769150200).

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

103251028849800 is a wasteful number, since it uses less digits than its factorization.

103251028849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78121 (or 78112 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 103251028849800 in words is "one hundred three trillion, two hundred fifty-one billion, twenty-eight million, eight hundred forty-nine thousand, eight hundred".