15105210000 has 200 divisors, whose sum is σ = 49076665440. Its totient is φ = 4002048000.

The previous prime is 15105209981. The next prime is 15105210011. The reversal of 15105210000 is 1250151.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4888456 + ... + 4891544.

Almost surely, 2^15105210000 is an apocalyptic number.

15105210000 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 15105210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24538332720).

15105210000 is an abundant number, since it is smaller than the sum of its proper divisors (33971455440).

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

15105210000 is a wasteful number, since it uses less digits than its factorization.

15105210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 15105210000 its reverse (1250151), we get a palindrome (15106460151).

The spelling of 15105210000 in words is "fifteen billion, one hundred five million, two hundred ten thousand".