15105432160 has 384 divisors, whose sum is σ = 46942156800. Its totient is φ = 4462166016.

The previous prime is 15105432119. The next prime is 15105432191. The reversal of 15105432160 is 6123450151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14399316 + ... + 14400364.

It is an arithmetic number, because the mean of its divisors is an integer number (122245200).

Almost surely, 2^15105432160 is an apocalyptic number.

15105432160 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 15105432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23471078400).

15105432160 is an abundant number, since it is smaller than the sum of its proper divisors (31836724640).

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

15105432160 is a wasteful number, since it uses less digits than its factorization.

15105432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 15105432160 in words is "fifteen billion, one hundred five million, four hundred thirty-two thousand, one hundred sixty".