105570125000 has 84 divisors (see below), whose sum is σ = 247696341165. Its totient is φ = 42182100000.

The previous prime is 105570124997. The next prime is 105570125009. The reversal of 105570125000 is 521075501.

It is a happy number.

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 4 ways, for example, as 18002662276 + 87567462724 = 134174^2 + 295918^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229750.

It is a super-2 number, since 2×105570125000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105570125009) 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, 114874541 + ... + 114875459.

Almost surely, 2^105570125000 is an apocalyptic number.

105570125000 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 105570125000

105570125000 is an abundant number, since it is smaller than the sum of its proper divisors (142126216165).

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

105570125000 is an frugal number, since it uses more digits than its factorization.

105570125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The spelling of 105570125000 in words is "one hundred five billion, five hundred seventy million, one hundred twenty-five thousand".