10145312720 has 80 divisors (see below), whose sum is σ = 23935134720. Its totient is φ = 3998592000.

The previous prime is 10145312693. The next prime is 10145312747. The reversal of 10145312720 is 2721354101.

It is an interprime number because it is at equal distance from previous prime (10145312693) and next prime (10145312747).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10145312720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3796985 + ... + 3799655.

It is an arithmetic number, because the mean of its divisors is an integer number (299189184).

Almost surely, 2^10145312720 is an apocalyptic number.

10145312720 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 10145312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967567360).

10145312720 is an abundant number, since it is smaller than the sum of its proper divisors (13789822000).

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

10145312720 is a wasteful number, since it uses less digits than its factorization.

10145312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 10145312720 its reverse (2721354101), we get a palindrome (12866666821).

The spelling of 10145312720 in words is "ten billion, one hundred forty-five million, three hundred twelve thousand, seven hundred twenty".