10023413010 has 192 divisors, whose sum is σ = 27799051392. Its totient is φ = 2298691584.

The previous prime is 10023412957. The next prime is 10023413011. The reversal of 10023413010 is 1031432001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10023413011) 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, 12735837 + ... + 12736623.

It is an arithmetic number, because the mean of its divisors is an integer number (144786726).

Almost surely, 2^10023413010 is an apocalyptic number.

10023413010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023413010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899525696).

10023413010 is an abundant number, since it is smaller than the sum of its proper divisors (17775638382).

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

10023413010 is a wasteful number, since it uses less digits than its factorization.

10023413010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10023413010 its reverse (1031432001), we get a palindrome (11054845011).

The spelling of 10023413010 in words is "ten billion, twenty-three million, four hundred thirteen thousand, ten".