10116610506 has 24 divisors (see below), whose sum is σ = 22731150624. Its totient is φ = 3372203340.

The previous prime is 10116610481. The next prime is 10116610507. The reversal of 10116610506 is 60501661101.

It is a super-3 number, since 3×10116610506³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10116610506.

It is not an unprimeable number, because it can be changed into a prime (10116610507) 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, 10407550 + ... + 10408521.

It is an arithmetic number, because the mean of its divisors is an integer number (947131276).

Almost surely, 2^10116610506 is an apocalyptic number.

10116610506 is an abundant number, since it is smaller than the sum of its proper divisors (12614540118).

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

10116610506 is an equidigital number, since it uses as much as digits as its factorization.

10116610506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20816088 (or 20816076 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10116610506 in words is "ten billion, one hundred sixteen million, six hundred ten thousand, five hundred six".