105125000 has 84 divisors (see below), whose sum is σ = 255172515. Its totient is φ = 40600000.

The previous prime is 105124979. The next prime is 105125003. The reversal of 105125000 is 521501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 90364036 + 14760964 = 9506^2 + 3842^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7250.

It is a super-2 number, since 2×105125000² = 22102531250000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105125003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3624986 + ... + 3625014.

Almost surely, 2^105125000 is an apocalyptic number.

105125000 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 105125000

105125000 is an abundant number, since it is smaller than the sum of its proper divisors (150047515).

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

105125000 is an frugal number, since it uses more digits than its factorization.

105125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105125000 is about 10253.0483272049. The cubic root of 105125000 is about 471.9565338696.

Multiplying 105125000 by its product of nonzero digits (50), we get a square (5256250000 = 72500²).

105125000 divided by its product of nonzero digits (50) gives a square (2102500 = 1450²).

Adding to 105125000 its reverse (521501), we get a palindrome (105646501).

The spelling of 105125000 in words is "one hundred five million, one hundred twenty-five thousand".