105252100 has 72 divisors (see below), whose sum is σ = 244624968. Its totient is φ = 39168000.

The previous prime is 105252097. The next prime is 105252101. The reversal of 105252100 is 1252501.

It can be written as a sum of positive squares in 12 ways, for example, as 20575296 + 84676804 = 4536^2 + 9202^2 .

It is a super-2 number, since 2×105252100² = 22156009108820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105252101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171394 + ... + 172006.

It is an arithmetic number, because the mean of its divisors is an integer number (3397569).

Almost surely, 2^105252100 is an apocalyptic number.

105252100 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 105252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122312484).

105252100 is an abundant number, since it is smaller than the sum of its proper divisors (139372868).

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

105252100 is a wasteful number, since it uses less digits than its factorization.

105252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105252100 is about 10259.2446115686. The cubic root of 105252100 is about 472.1466615485.

The spelling of 105252100 in words is "one hundred five million, two hundred fifty-two thousand, one hundred".