10506100111050 has 96 divisors (see below), whose sum is σ = 27922770006912. Its totient is φ = 2607389326080.

The previous prime is 10506100111049. The next prime is 10506100111051. The reversal of 10506100111050 is 5011100160501.

It is a happy number.

10506100111050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10506100111049) and next prime (10506100111051).

It is a super-2 number, since 2×10506100111050² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506100111051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41024329 + ... + 41279628.

It is an arithmetic number, because the mean of its divisors is an integer number (290862187572).

Almost surely, 2^{10506100111050} is an apocalyptic number.

10506100111050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506100111050 is an abundant number, since it is smaller than the sum of its proper divisors (17416669895862).

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

10506100111050 is a wasteful number, since it uses less digits than its factorization.

10506100111050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82304032 (or 82304027 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 10506100111050 its reverse (5011100160501), we get a palindrome (15517200271551).

The spelling of 10506100111050 in words is "ten trillion, five hundred six billion, one hundred million, one hundred eleven thousand, fifty".