105020160 has 144 divisors (see below), whose sum is σ = 383421696. Its totient is φ = 23998464.

The previous prime is 105020143. The next prime is 105020173. The reversal of 105020160 is 61020501.

It is a super-2 number, since 2×105020160² = 22058468012851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 24927 + ... + 28833.

Almost surely, 2^105020160 is an apocalyptic number.

105020160 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 105020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191710848).

105020160 is an abundant number, since it is smaller than the sum of its proper divisors (278401536).

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

105020160 is an equidigital number, since it uses as much as digits as its factorization.

105020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105020160 is about 10247.9344260197. The cubic root of 105020160 is about 471.7995893410.

Adding to 105020160 its reverse (61020501), we get a palindrome (166040661).

The spelling of 105020160 in words is "one hundred five million, twenty thousand, one hundred sixty".