10161245600 has 144 divisors (see below), whose sum is σ = 28485989280. Its totient is φ = 3500467200.

The previous prime is 10161245599. The next prime is 10161245603. The reversal of 10161245600 is 654216101.

It is a self number, because there is not a number n which added to its sum of digits gives 10161245600.

It is not an unprimeable number, because it can be changed into a prime (10161245603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136814 + ... + 197586.

It is an arithmetic number, because the mean of its divisors is an integer number (197819370).

Almost surely, 2^10161245600 is an apocalyptic number.

10161245600 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 10161245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242994640).

10161245600 is an abundant number, since it is smaller than the sum of its proper divisors (18324743680).

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

10161245600 is a wasteful number, since it uses less digits than its factorization.

10161245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60823 (or 60810 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 10161245600 in words is "ten billion, one hundred sixty-one million, two hundred forty-five thousand, six hundred".