10510428744 has 24 divisors (see below), whose sum is σ = 28465744710. Its totient is φ = 3503476224.

The previous prime is 10510428737. The next prime is 10510428763. The reversal of 10510428744 is 44782401501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9372176100 + 1138252644 = 96810^2 + 33738^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×10510428744³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10510428699 and 10510428708.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72989017 + ... + 72989160.

Almost surely, 2^10510428744 is an apocalyptic number.

It is an amenable number.

10510428744 is an abundant number, since it is smaller than the sum of its proper divisors (17955315966).

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

10510428744 is a wasteful number, since it uses less digits than its factorization.

10510428744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145978189 (or 145978182 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10510428744 in words is "ten billion, five hundred ten million, four hundred twenty-eight thousand, seven hundred forty-four".