10510534420 has 48 divisors (see below), whose sum is σ = 22192062480. Its totient is φ = 4181433344.

The previous prime is 10510534417. The next prime is 10510534421. The reversal of 10510534420 is 2443501501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5924356 + 10504610064 = 2434^2 + 102492^2 .

It is a super-3 number, since 3×10510534420³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510534421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3225432 + ... + 3228688.

It is an arithmetic number, because the mean of its divisors is an integer number (462334635).

Almost surely, 2^10510534420 is an apocalyptic number.

10510534420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510534420 is an abundant number, since it is smaller than the sum of its proper divisors (11681528060).

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

10510534420 is a wasteful number, since it uses less digits than its factorization.

10510534420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 10510534420 in words is "ten billion, five hundred ten million, five hundred thirty-four thousand, four hundred twenty".