103025510000 has 400 divisors, whose sum is σ = 301223577600. Its totient is φ = 33361152000.

The previous prime is 103025509987. The next prime is 103025510017. The reversal of 103025510000 is 15520301.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×103025510000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 143289641 + ... + 143290359.

It is an arithmetic number, because the mean of its divisors is an integer number (753058944).

Almost surely, 2^103025510000 is an apocalyptic number.

103025510000 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 103025510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150611788800).

103025510000 is an abundant number, since it is smaller than the sum of its proper divisors (198198067600).

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

103025510000 is an equidigital number, since it uses as much as digits as its factorization.

103025510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The spelling of 103025510000 in words is "one hundred three billion, twenty-five million, five hundred ten thousand".