10500106010600 has 48 divisors (see below), whose sum is σ = 25008179335020. Its totient is φ = 4097602342400.

The previous prime is 10500106010599. The next prime is 10500106010609. The reversal of 10500106010600 is 601060100501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4308538792804 + 6191567217796 = 2075702^2 + 2488286^2 .

It is a super-2 number, since 2×10500106010600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10500106010609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640242167 + ... + 640258566.

Almost surely, 2^{10500106010600} is an apocalyptic number.

10500106010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500106010600 is an abundant number, since it is smaller than the sum of its proper divisors (14508073324420).

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

10500106010600 is a wasteful number, since it uses less digits than its factorization.

10500106010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280500790 (or 1280500781 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 10500106010600 in words is "ten trillion, five hundred billion, one hundred six million, ten thousand, six hundred".