10506050106100 has 18 divisors (see below), whose sum is σ = 22798128730454. Its totient is φ = 4202420042400.

The previous prime is 10506050106049. The next prime is 10506050106109. The reversal of 10506050106100 is 160105060501.

It can be written as a sum of positive squares in 3 ways, for example, as 99141857424 + 10406908248676 = 314868^2 + 3225974^2 .

It is a super-2 number, since 2×10506050106100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506050106109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52530250431 + ... + 52530250630.

Almost surely, 2^{10506050106100} is an apocalyptic number.

10506050106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506050106100 is an abundant number, since it is smaller than the sum of its proper divisors (12292078624354).

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

10506050106100 is a wasteful number, since it uses less digits than its factorization.

10506050106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105060501075 (or 105060501068 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10506050106100 its reverse (160105060501), we get a palindrome (10666155166601).

The spelling of 10506050106100 in words is "ten trillion, five hundred six billion, fifty million, one hundred six thousand, one hundred".