10145123310 has 32 divisors (see below), whose sum is σ = 27826624512. Its totient is φ = 2318885280.

The previous prime is 10145123309. The next prime is 10145123327. The reversal of 10145123310 is 1332154101.

It is a super-2 number, since 2×10145123310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24154846 + ... + 24155265.

It is an arithmetic number, because the mean of its divisors is an integer number (869582016).

Almost surely, 2^10145123310 is an apocalyptic number.

10145123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10145123310 is an abundant number, since it is smaller than the sum of its proper divisors (17681501202).

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

10145123310 is a wasteful number, since it uses less digits than its factorization.

10145123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48310128.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10145123310 its reverse (1332154101), we get a palindrome (11477277411).

The spelling of 10145123310 in words is "ten billion, one hundred forty-five million, one hundred twenty-three thousand, three hundred ten".