10641410100 has 144 divisors (see below), whose sum is σ = 36222681600. Its totient is φ = 2670773760.

The previous prime is 10641410081. The next prime is 10641410233. The reversal of 10641410100 is 101414601.

10641410100 is a `hidden beast` number, since 1 + 0 + 641 + 4 + 10 + 10 + 0 = 666.

It is a super-2 number, since 2×10641410100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70020 + ... + 161819.

It is an arithmetic number, because the mean of its divisors is an integer number (251546400).

Almost surely, 2^10641410100 is an apocalyptic number.

10641410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10641410100 is an abundant number, since it is smaller than the sum of its proper divisors (25581271500).

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

10641410100 is a wasteful number, since it uses less digits than its factorization.

10641410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231879 (or 231866 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10641410100 its reverse (101414601), we get a palindrome (10742824701).

The spelling of 10641410100 in words is "ten billion, six hundred forty-one million, four hundred ten thousand, one hundred".