100105500110610 has 32 divisors (see below), whose sum is σ = 240263257366080. Its totient is φ = 26693682573888.

The previous prime is 100105500110579. The next prime is 100105500110653. The reversal of 100105500110610 is 16011005501001.

It is a happy number.

It is a super-2 number, since 2×100105500110610² (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 15 ways as a sum of consecutive naturals, for example, 69112240 + ... + 70545819.

It is an arithmetic number, because the mean of its divisors is an integer number (7508226792690).

Almost surely, 2^{100105500110610} is an apocalyptic number.

100105500110610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105500110610 is an abundant number, since it is smaller than the sum of its proper divisors (140157757255470).

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

100105500110610 is a wasteful number, since it uses less digits than its factorization.

100105500110610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139681962.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 100105500110610 its reverse (16011005501001), we get a palindrome (116116505611611).

The spelling of 100105500110610 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred ten thousand, six hundred ten".