10302150144 has 640 divisors, whose sum is σ = 35637719040. Its totient is φ = 2595225600.

The previous prime is 10302150097. The next prime is 10302150149. The reversal of 10302150144 is 44105120301.

It is a super-2 number, since 2×10302150144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10302150144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302150149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115754452 + ... + 115754540.

It is an arithmetic number, because the mean of its divisors is an integer number (55683936).

Almost surely, 2^10302150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818859520).

10302150144 is an abundant number, since it is smaller than the sum of its proper divisors (25335568896).

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

10302150144 is a wasteful number, since it uses less digits than its factorization.

10302150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10302150144 its reverse (44105120301), we get a palindrome (54407270445).

The spelling of 10302150144 in words is "ten billion, three hundred two million, one hundred fifty thousand, one hundred forty-four".