100105110104527 has 8 divisors (see below), whose sum is σ = 109225361928960. Its totient is φ = 90988156158360.

The previous prime is 100105110104509. The next prime is 100105110104533. The reversal of 100105110104527 is 725401011501001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100105110104527 - 2¹⁹ = 100105109580239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100105110104495 and 100105110104504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105110104507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824406093 + ... + 824527510.

It is an arithmetic number, because the mean of its divisors is an integer number (13653170241120).

Almost surely, 2^{100105110104527} is an apocalyptic number.

100105110104527 is a deficient number, since it is larger than the sum of its proper divisors (9120251824433).

100105110104527 is a wasteful number, since it uses less digits than its factorization.

100105110104527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648939133.

The product of its (nonzero) digits is 1400, while the sum is 28.

Adding to 100105110104527 its reverse (725401011501001), we get a palindrome (825506121605528).

The spelling of 100105110104527 in words is "one hundred trillion, one hundred five billion, one hundred ten million, one hundred four thousand, five hundred twenty-seven".