10205124161500 has 96 divisors (see below), whose sum is σ = 23294744194176. Its totient is φ = 3898238220800.

The previous prime is 10205124161497. The next prime is 10205124161501. The reversal of 10205124161500 is 516142150201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205124161501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6376374 + ... + 7814626.

It is an arithmetic number, because the mean of its divisors is an integer number (242653585356).

Almost surely, 2^{10205124161500} is an apocalyptic number.

10205124161500 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 10205124161500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11647372097088).

10205124161500 is an abundant number, since it is smaller than the sum of its proper divisors (13089620032676).

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

10205124161500 is a wasteful number, since it uses less digits than its factorization.

10205124161500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438912 (or 1438900 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 10205124161500 in words is "ten trillion, two hundred five billion, one hundred twenty-four million, one hundred sixty-one thousand, five hundred".