10508350100 has 36 divisors (see below), whose sum is σ = 23589440700. Its totient is φ = 4058396160.

The previous prime is 10508350091. The next prime is 10508350109. The reversal of 10508350100 is 105380501.

It is an interprime number because it is at equal distance from previous prime (10508350091) and next prime (10508350109).

It can be written as a sum of positive squares in 6 ways, for example, as 1310005636 + 9198344464 = 36194^2 + 95908^2 .

It is a super-2 number, since 2×10508350100² (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 (10508350109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1808885 + ... + 1814684.

Almost surely, 2^10508350100 is an apocalyptic number.

10508350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10508350100 is an abundant number, since it is smaller than the sum of its proper divisors (13081090600).

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

10508350100 is a wasteful number, since it uses less digits than its factorization.

10508350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623612 (or 3623605 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 10508350100 in words is "ten billion, five hundred eight million, three hundred fifty thousand, one hundred".