103106616 has 64 divisors (see below), whose sum is σ = 273110400. Its totient is φ = 32347008.

The previous prime is 103106599. The next prime is 103106617. The reversal of 103106616 is 616601301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103106617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78235 + ... + 79541.

It is an arithmetic number, because the mean of its divisors is an integer number (4267350).

Almost surely, 2^103106616 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 103106616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136555200).

103106616 is an abundant number, since it is smaller than the sum of its proper divisors (170003784).

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

103106616 is a wasteful number, since it uses less digits than its factorization.

103106616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 103106616 is about 10154.1427998625. The cubic root of 103106616 is about 468.9164960905.

Adding to 103106616 its reverse (616601301), we get a palindrome (719707917).

The spelling of 103106616 in words is "one hundred three million, one hundred six thousand, six hundred sixteen".