105053100 has 72 divisors (see below), whose sum is σ = 307688640. Its totient is φ = 27670080.

The previous prime is 105053089. The next prime is 105053189. The reversal of 105053100 is 1350501.

It is a super-2 number, since 2×105053100² = 22072307639220000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105053100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22791 + ... + 27009.

Almost surely, 2^105053100 is an apocalyptic number.

105053100 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 105053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153844320).

105053100 is an abundant number, since it is smaller than the sum of its proper divisors (202635540).

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

105053100 is a wasteful number, since it uses less digits than its factorization.

105053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105053100 is about 10249.5414531578. The cubic root of 105053100 is about 471.8489114708.

The spelling of 105053100 in words is "one hundred five million, fifty-three thousand, one hundred".