10616110100 has 18 divisors (see below), whose sum is σ = 23036959134. Its totient is φ = 4246444000.

The previous prime is 10616110079. The next prime is 10616110121. The reversal of 10616110100 is 101161601.

It is an interprime number because it is at equal distance from previous prime (10616110079) and next prime (10616110121).

It can be written as a sum of positive squares in 3 ways, for example, as 44568976 + 10571541124 = 6676^2 + 102818^2 .

It is a super-2 number, since 2×10616110100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53080451 + ... + 53080650.

It is an arithmetic number, because the mean of its divisors is an integer number (1279831063).

Almost surely, 2^10616110100 is an apocalyptic number.

10616110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10616110100 is an abundant number, since it is smaller than the sum of its proper divisors (12420849034).

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

10616110100 is a wasteful number, since it uses less digits than its factorization.

10616110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106161115 (or 106161108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10616110100 its reverse (101161601), we get a palindrome (10717271701).

The spelling of 10616110100 in words is "ten billion, six hundred sixteen million, one hundred ten thousand, one hundred".