106552100046 has 128 divisors (see below), whose sum is σ = 264222259200. Its totient is φ = 28569725184.

The previous prime is 106552100029. The next prime is 106552100059. The reversal of 106552100046 is 640001255601.

It is a super-2 number, since 2×106552100046² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106552099986 and 106552100022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2487466 + ... + 2529938.

It is an arithmetic number, because the mean of its divisors is an integer number (2064236400).

Almost surely, 2^106552100046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106552100046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132111129600).

106552100046 is an abundant number, since it is smaller than the sum of its proper divisors (157670159154).

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

106552100046 is a wasteful number, since it uses less digits than its factorization.

106552100046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42575 (or 42561 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 106552100046 its reverse (640001255601), we get a palindrome (746553355647).

The spelling of 106552100046 in words is "one hundred six billion, five hundred fifty-two million, one hundred thousand, forty-six".