15105641000 has 128 divisors (see below), whose sum is σ = 37032802560. Its totient is φ = 5756256000.

The previous prime is 15105640969. The next prime is 15105641039. The reversal of 15105641000 is 14650151.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6369815 + ... + 6372185.

It is an arithmetic number, because the mean of its divisors is an integer number (289318770).

Almost surely, 2^15105641000 is an apocalyptic number.

15105641000 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 15105641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516401280).

15105641000 is an abundant number, since it is smaller than the sum of its proper divisors (21927161560).

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

15105641000 is a wasteful number, since it uses less digits than its factorization.

15105641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 15105641000 in words is "fifteen billion, one hundred five million, six hundred forty-one thousand".