10197870144 has 448 divisors, whose sum is σ = 35077066752. Its totient is φ = 2538086400.

The previous prime is 10197870119. The next prime is 10197870161. The reversal of 10197870144 is 44107879101.

10197870144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10197870096 and 10197870105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56341734 + ... + 56341914.

It is an arithmetic number, because the mean of its divisors is an integer number (78297024).

Almost surely, 2^10197870144 is an apocalyptic number.

10197870144 is a gapful number since it is divisible by the number (14) 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 10197870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17538533376).

10197870144 is an abundant number, since it is smaller than the sum of its proper divisors (24879196608).

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

10197870144 is a wasteful number, since it uses less digits than its factorization.

10197870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 10197870144 in words is "ten billion, one hundred ninety-seven million, eight hundred seventy thousand, one hundred forty-four".