100105600005537 has 32 divisors (see below), whose sum is σ = 154865930655744. Its totient is φ = 56333505043200.

The previous prime is 100105600005491. The next prime is 100105600005557. The reversal of 100105600005537 is 735500006501001.

It is not a de Polignac number, because 100105600005537 - 2³⁸ = 99830722098593 is a prime.

It is a super-2 number, since 2×100105600005537² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105600005498 and 100105600005507.

It is not an unprimeable number, because it can be changed into a prime (100105600005557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36790803 + ... + 39417944.

It is an arithmetic number, because the mean of its divisors is an integer number (4839560332992).

Almost surely, 2^{100105600005537} is an apocalyptic number.

It is an amenable number.

100105600005537 is a deficient number, since it is larger than the sum of its proper divisors (54760330650207).

100105600005537 is an equidigital number, since it uses as much as digits as its factorization.

100105600005537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76209709.

The product of its (nonzero) digits is 15750, while the sum is 33.

Adding to 100105600005537 its reverse (735500006501001), we get a palindrome (835605606506538).

The spelling of 100105600005537 in words is "one hundred trillion, one hundred five billion, six hundred million, five thousand, five hundred thirty-seven".