100105500106010 has 64 divisors (see below), whose sum is σ = 208543009259520. Its totient is φ = 33886624000320.

The previous prime is 100105500105889. The next prime is 100105500106019. The reversal of 100105500106010 is 10601005501001.

It is a super-2 number, since 2×100105500106010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105500106019) 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, 260331707 + ... + 260715953.

It is an arithmetic number, because the mean of its divisors is an integer number (3258484519680).

Almost surely, 2^{100105500106010} is an apocalyptic number.

100105500106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105500106010 is an abundant number, since it is smaller than the sum of its proper divisors (108437509153510).

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

100105500106010 is a wasteful number, since it uses less digits than its factorization.

100105500106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431451.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 100105500106010 its reverse (10601005501001), we get a palindrome (110706505607011).

The spelling of 100105500106010 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred six thousand, ten".