10506023120 has 40 divisors (see below), whose sum is σ = 25863360264. Its totient is φ = 3955208192.

The previous prime is 10506023113. The next prime is 10506023161. The reversal of 10506023120 is 2132060501.

It can be written as a sum of positive squares in 4 ways, for example, as 1772746816 + 8733276304 = 42104^2 + 93452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10506023120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10506023092 and 10506023101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3861149 + ... + 3863868.

Almost surely, 2^10506023120 is an apocalyptic number.

10506023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506023120 is an abundant number, since it is smaller than the sum of its proper divisors (15357337144).

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

10506023120 is a wasteful number, since it uses less digits than its factorization.

10506023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725047 (or 7725041 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10506023120 its reverse (2132060501), we get a palindrome (12638083621).

The spelling of 10506023120 in words is "ten billion, five hundred six million, twenty-three thousand, one hundred twenty".