100105600005536 has 48 divisors (see below), whose sum is σ = 208704523837320. Its totient is φ = 47102081064960.

The previous prime is 100105600005491. The next prime is 100105600005557. The reversal of 100105600005536 is 635500006501001.

It can be written as a sum of positive squares in 4 ways, for example, as 75593634691600 + 24511965313936 = 8694460^2 + 4950956^2 .

It is a super-3 number, since 3×100105600005536³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8585171 + ... + 16550418.

Almost surely, 2^{100105600005536} is an apocalyptic number.

100105600005536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100105600005536 is an abundant number, since it is smaller than the sum of its proper divisors (108598923831784).

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

100105600005536 is a wasteful number, since it uses less digits than its factorization.

100105600005536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142937 (or 25142929 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

Adding to 100105600005536 its reverse (635500006501001), we get a palindrome (735605606506537).

The spelling of 100105600005536 in words is "one hundred trillion, one hundred five billion, six hundred million, five thousand, five hundred thirty-six".