10506106100 has 72 divisors (see below), whose sum is σ = 26113953600. Its totient is φ = 3593963520.

The previous prime is 10506106043. The next prime is 10506106103. The reversal of 10506106100 is 160160501.

It is a happy number.

It is a super-2 number, since 2×10506106100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506106103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297587 + ... + 331013.

It is an arithmetic number, because the mean of its divisors is an integer number (362693800).

Almost surely, 2^10506106100 is an apocalyptic number.

10506106100 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 10506106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056976800).

10506106100 is an abundant number, since it is smaller than the sum of its proper divisors (15607847500).

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

10506106100 is a wasteful number, since it uses less digits than its factorization.

10506106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33897 (or 33890 counting only the distinct ones).

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

Adding to 10506106100 its reverse (160160501), we get a palindrome (10666266601).

The spelling of 10506106100 in words is "ten billion, five hundred six million, one hundred six thousand, one hundred".