10523010640 has 20 divisors (see below), whose sum is σ = 24465999924. Its totient is φ = 4209204224.

The previous prime is 10523010637. The next prime is 10523010643. The reversal of 10523010640 is 4601032501.

It is an interprime number because it is at equal distance from previous prime (10523010637) and next prime (10523010643).

It can be written as a sum of positive squares in 2 ways, for example, as 5682747456 + 4840263184 = 75384^2 + 69572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10523010640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523010643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65768737 + ... + 65768896.

Almost surely, 2^10523010640 is an apocalyptic number.

10523010640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10523010640 is an abundant number, since it is smaller than the sum of its proper divisors (13942989284).

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

10523010640 is a wasteful number, since it uses less digits than its factorization.

10523010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131537646 (or 131537640 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 10523010640 in words is "ten billion, five hundred twenty-three million, ten thousand, six hundred forty".