100052616 has 64 divisors (see below), whose sum is σ = 266172480. Its totient is φ = 31232000.

The previous prime is 100052609. The next prime is 100052621. The reversal of 100052616 is 616250001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100052592 and 100052601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101920 + ... + 102896.

It is an arithmetic number, because the mean of its divisors is an integer number (4158945).

Almost surely, 2^100052616 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 100052616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133086240).

100052616 is an abundant number, since it is smaller than the sum of its proper divisors (166119864).

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

100052616 is a wasteful number, since it uses less digits than its factorization.

100052616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100052616 is about 10002.6304540356. The cubic root of 100052616 is about 464.2402763671.

It can be divided in two parts, 10005 and 2616, that added together give a palindrome (12621).

The spelling of 100052616 in words is "one hundred million, fifty-two thousand, six hundred sixteen".