105202120 has 64 divisors (see below), whose sum is σ = 254275200. Its totient is φ = 39029760.

The previous prime is 105202099. The next prime is 105202147. The reversal of 105202120 is 21202501.

It is a super-2 number, since 2×105202120² = 22134972104988800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105202120.

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, 47191 + ... + 49369.

It is an arithmetic number, because the mean of its divisors is an integer number (3973050).

Almost surely, 2^105202120 is an apocalyptic number.

105202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127137600).

105202120 is an abundant number, since it is smaller than the sum of its proper divisors (149073080).

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

105202120 is a wasteful number, since it uses less digits than its factorization.

105202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105202120 is about 10256.8084704746. The cubic root of 105202120 is about 472.0719152129.

Adding to 105202120 its reverse (21202501), we get a palindrome (126404621).

The spelling of 105202120 in words is "one hundred five million, two hundred two thousand, one hundred twenty".