10145104133010 has 192 divisors, whose sum is σ = 31210443936000. Its totient is φ = 2108073327360.

The previous prime is 10145104132997. The next prime is 10145104133011. The reversal of 10145104133010 is 1033140154101.

It is not an unprimeable number, because it can be changed into a prime (10145104133011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2828955 + ... + 5319134.

It is an arithmetic number, because the mean of its divisors is an integer number (162554395500).

Almost surely, 2^{10145104133010} is an apocalyptic number.

10145104133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10145104133010 is an abundant number, since it is smaller than the sum of its proper divisors (21065339802990).

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

10145104133010 is a wasteful number, since it uses less digits than its factorization.

10145104133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148142 (or 8148117 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10145104133010 its reverse (1033140154101), we get a palindrome (11178244287111).

The spelling of 10145104133010 in words is "ten trillion, one hundred forty-five billion, one hundred four million, one hundred thirty-three thousand, ten".