105020352 has 84 divisors (see below), whose sum is σ = 308433216. Its totient is φ = 34145280.

The previous prime is 105020299. The next prime is 105020387. The reversal of 105020352 is 253020501.

It is a happy number.

It is a super-2 number, since 2×105020352² = 22058548668407808, which contains 22 as substring.

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

It is a congruent number.

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, 21393 + ... + 25839.

It is an arithmetic number, because the mean of its divisors is an integer number (3671824).

Almost surely, 2^105020352 is an apocalyptic number.

105020352 is a gapful number since it is divisible by the number (12) 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 105020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154216608).

105020352 is an abundant number, since it is smaller than the sum of its proper divisors (203412864).

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

105020352 is a wasteful number, since it uses less digits than its factorization.

105020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105020352 is about 10247.9437937569. The cubic root of 105020352 is about 471.7998768587.

Adding to 105020352 its reverse (253020501), we get a palindrome (358040853).

The spelling of 105020352 in words is "one hundred five million, twenty thousand, three hundred fifty-two".