105202116 has 36 divisors (see below), whose sum is σ = 266390124. Its totient is φ = 35006400.

The previous prime is 105202099. The next prime is 105202147. The reversal of 105202116 is 611202501.

It can be written as a sum of positive squares in 2 ways, for example, as 85488516 + 19713600 = 9246^2 + 4440^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105202116² = 22134970421754912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21586 + ... + 26006.

Almost surely, 2^105202116 is an apocalyptic number.

It is an amenable number.

105202116 is an abundant number, since it is smaller than the sum of its proper divisors (161188008).

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

105202116 is a wasteful number, since it uses less digits than its factorization.

105202116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105202116 is about 10256.8082754822. The cubic root of 105202116 is about 472.0719092298.

Adding to 105202116 its reverse (611202501), we get a palindrome (716404617).

The spelling of 105202116 in words is "one hundred five million, two hundred two thousand, one hundred sixteen".