10352106672 has 40 divisors (see below), whose sum is σ = 26746596144. Its totient is φ = 3450230784.

The previous prime is 10352106671. The next prime is 10352106673. The reversal of 10352106672 is 27660125301.

It is an interprime number because it is at equal distance from previous prime (10352106671) and next prime (10352106673).

It is a super-2 number, since 2×10352106672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10352106671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642588 + ... + 658500.

Almost surely, 2^10352106672 is an apocalyptic number.

10352106672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10352106672 is an abundant number, since it is smaller than the sum of its proper divisors (16394489472).

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

10352106672 is a wasteful number, since it uses less digits than its factorization.

10352106672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29477 (or 29471 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 10352106672 in words is "ten billion, three hundred fifty-two million, one hundred six thousand, six hundred seventy-two".