10001610500 has 72 divisors (see below), whose sum is σ = 25409868120. Its totient is φ = 3429115200.

The previous prime is 10001610497. The next prime is 10001610503. The reversal of 10001610500 is 501610001.

It is an interprime number because it is at equal distance from previous prime (10001610497) and next prime (10001610503).

It can be written as a sum of positive squares in 4 ways, for example, as 320624836 + 9680985664 = 17906^2 + 98392^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001610503) 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 23 ways as a sum of consecutive naturals, for example, 179615 + ... + 228614.

It is an arithmetic number, because the mean of its divisors is an integer number (352914835).

Almost surely, 2^10001610500 is an apocalyptic number.

10001610500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001610500 is an abundant number, since it is smaller than the sum of its proper divisors (15408257620).

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

10001610500 is a wasteful number, since it uses less digits than its factorization.

10001610500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408262 (or 408243 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 10001610500 in words is "ten billion, one million, six hundred ten thousand, five hundred".