100105500060100 has 18 divisors (see below), whose sum is σ = 217228935130634. Its totient is φ = 40042200024000.

The previous prime is 100105500060079. The next prime is 100105500060151. The reversal of 100105500060100 is 1060005501001.

It can be written as a sum of positive squares in 3 ways, for example, as 23056745441536 + 77048754618564 = 4801744^2 + 8777742^2 .

It is a super-2 number, since 2×100105500060100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500527500201 + ... + 500527500400.

Almost surely, 2^{100105500060100} is an apocalyptic number.

100105500060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105500060100 is an abundant number, since it is smaller than the sum of its proper divisors (117123435070534).

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

100105500060100 is a wasteful number, since it uses less digits than its factorization.

100105500060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001055000615 (or 1001055000608 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 100105500060100 its reverse (1060005501001), we get a palindrome (101165505561101).

The spelling of 100105500060100 in words is "one hundred trillion, one hundred five billion, five hundred million, sixty thousand, one hundred".