10506434100 has 144 divisors (see below), whose sum is σ = 30935894976. Its totient is φ = 2752640000.

The previous prime is 10506434089. The next prime is 10506434101. The reversal of 10506434100 is 143460501.

It is a super-2 number, since 2×10506434100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506434101) 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, 4149835 + ... + 4152365.

It is an arithmetic number, because the mean of its divisors is an integer number (214832604).

Almost surely, 2^10506434100 is an apocalyptic number.

10506434100 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 10506434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467947488).

10506434100 is an abundant number, since it is smaller than the sum of its proper divisors (20429460876).

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

10506434100 is a wasteful number, since it uses less digits than its factorization.

10506434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10506434100 its reverse (143460501), we get a palindrome (10649894601).

The spelling of 10506434100 in words is "ten billion, five hundred six million, four hundred thirty-four thousand, one hundred".