105052500 has 360 divisors, whose sum is σ = 409368960. Its totient is φ = 22176000.

The previous prime is 105052499. The next prime is 105052511. The reversal of 105052500 is 5250501.

It is a super-2 number, since 2×105052500² = 22072055512500000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3622486 + ... + 3622514.

It is an arithmetic number, because the mean of its divisors is an integer number (1137136).

Almost surely, 2^105052500 is an apocalyptic number.

105052500 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 105052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204684480).

105052500 is an abundant number, since it is smaller than the sum of its proper divisors (304316460).

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

105052500 is a wasteful number, since it uses less digits than its factorization.

105052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 105052500 is about 10249.5121835139. The cubic root of 105052500 is about 471.8480131636.

The spelling of 105052500 in words is "one hundred five million, fifty-two thousand, five hundred".