10100061105504 has 24 divisors (see below), whose sum is σ = 26512660402200. Its totient is φ = 3366687035136.

The previous prime is 10100061105469. The next prime is 10100061105539. The reversal of 10100061105504 is 40550116000101.

It is an interprime number because it is at equal distance from previous prime (10100061105469) and next prime (10100061105539).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10100061105504² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52604484829 + ... + 52604485020.

It is an arithmetic number, because the mean of its divisors is an integer number (1104694183425).

Almost surely, 2^{10100061105504} is an apocalyptic number.

It is an amenable number.

10100061105504 is an abundant number, since it is smaller than the sum of its proper divisors (16412599296696).

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

10100061105504 is a wasteful number, since it uses less digits than its factorization.

10100061105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105208969862 (or 105208969854 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 10100061105504 its reverse (40550116000101), we get a palindrome (50650177105605).

The spelling of 10100061105504 in words is "ten trillion, one hundred billion, sixty-one million, one hundred five thousand, five hundred four".