10106616 has 64 divisors (see below), whose sum is σ = 28173600. Its totient is φ = 2999808.

The previous prime is 10106611. The next prime is 10106617. The reversal of 10106616 is 61660101.

It is a junction number, because it is equal to n+sod(n) for n = 10106592 and 10106601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106611) 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 15 ways as a sum of consecutive naturals, for example, 8490 + ... + 9606.

Almost surely, 2^10106616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086800).

10106616 is an abundant number, since it is smaller than the sum of its proper divisors (18066984).

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

10106616 is a wasteful number, since it uses less digits than its factorization.

10106616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10106616 is about 3179.0904359581. The cubic root of 10106616 is about 216.2064213254.

Adding to 10106616 its reverse (61660101), we get a palindrome (71766717).

It can be divided in two parts, 1010 and 6616, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 10106616 in words is "ten million, one hundred six thousand, six hundred sixteen".