10010000610 has 24 divisors (see below), whose sum is σ = 26026001820. Its totient is φ = 2669333472.

The previous prime is 10010000599. The next prime is 10010000621. The reversal of 10010000610 is 1600001001.

It is an interprime number because it is at equal distance from previous prime (10010000599) and next prime (10010000621).

It can be written as a sum of positive squares in 2 ways, for example, as 9449589681 + 560410929 = 97209^2 + 23673^2 .

It is a super-2 number, since 2×10010000610² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010000592 and 10010000601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55611025 + ... + 55611204.

Almost surely, 2^10010000610 is an apocalyptic number.

10010000610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010000610 is an abundant number, since it is smaller than the sum of its proper divisors (16016001210).

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

10010000610 is a wasteful number, since it uses less digits than its factorization.

10010000610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111222242 (or 111222239 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10010000610 its reverse (1600001001), we get a palindrome (11610001611).

The spelling of 10010000610 in words is "ten billion, ten million, six hundred ten", and thus it is an aban number.