10501103466 has 128 divisors (see below), whose sum is σ = 27316224000. Its totient is φ = 2989027440.

The previous prime is 10501103461. The next prime is 10501103479. The reversal of 10501103466 is 66430110501.

10501103466 is a `hidden beast` number, since 10 + 501 + 103 + 46 + 6 = 666.

It is a super-2 number, since 2×10501103466² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10501103461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5759431 + ... + 5761253.

It is an arithmetic number, because the mean of its divisors is an integer number (213408000).

Almost surely, 2^10501103466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10501103466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658112000).

10501103466 is an abundant number, since it is smaller than the sum of its proper divisors (16815120534).

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

10501103466 is a wasteful number, since it uses less digits than its factorization.

10501103466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10501103466 its reverse (66430110501), we get a palindrome (76931213967).

The spelling of 10501103466 in words is "ten billion, five hundred one million, one hundred three thousand, four hundred sixty-six".