10258915100 has 144 divisors (see below), whose sum is σ = 26843281920. Its totient is φ = 3324499200.

The previous prime is 10258915087. The next prime is 10258915123. The reversal of 10258915100 is 151985201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9668570 + ... + 9669630.

It is an arithmetic number, because the mean of its divisors is an integer number (186411680).

Almost surely, 2^10258915100 is an apocalyptic number.

10258915100 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 10258915100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421640960).

10258915100 is an abundant number, since it is smaller than the sum of its proper divisors (16584366820).

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

10258915100 is a wasteful number, since it uses less digits than its factorization.

10258915100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 32.

The spelling of 10258915100 in words is "ten billion, two hundred fifty-eight million, nine hundred fifteen thousand, one hundred".