15105157010550 has 192 divisors, whose sum is σ = 42320109464640. Its totient is φ = 3961118453760.

The previous prime is 15105157010521. The next prime is 15105157010551. The reversal of 15105157010550 is 5501075150151.

15105157010550 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 51 + 57 + 0 + 1 + 0 + 550 = 666.

It is a super-2 number, since 2×15105157010550² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15105157010551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20191792 + ... + 20926508.

It is an arithmetic number, because the mean of its divisors is an integer number (220417236795).

Almost surely, 2^{15105157010550} is an apocalyptic number.

15105157010550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15105157010550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21160054732320).

15105157010550 is an abundant number, since it is smaller than the sum of its proper divisors (27214952454090).

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

15105157010550 is a wasteful number, since it uses less digits than its factorization.

15105157010550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734992 (or 734981 counting only the distinct ones).

The product of its (nonzero) digits is 21875, while the sum is 36.

The spelling of 15105157010550 in words is "fifteen trillion, one hundred five billion, one hundred fifty-seven million, ten thousand, five hundred fifty".