105200616 has 32 divisors (see below), whose sum is σ = 263802240. Its totient is φ = 34960128.

The previous prime is 105200609. The next prime is 105200659. The reversal of 105200616 is 616002501.

It is a happy number.

It is a super-2 number, since 2×105200616² = 22134339213558912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105200592 and 105200601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585 + ... + 14591.

It is an arithmetic number, because the mean of its divisors is an integer number (8243820).

Almost surely, 2^105200616 is an apocalyptic number.

It is an amenable number.

105200616 is an abundant number, since it is smaller than the sum of its proper divisors (158601624).

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

105200616 is a wasteful number, since it uses less digits than its factorization.

105200616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13353 (or 13349 counting only the distinct ones).

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

The square root of 105200616 is about 10256.7351530592. The cubic root of 105200616 is about 472.0696655765.

The spelling of 105200616 in words is "one hundred five million, two hundred thousand, six hundred sixteen".