100100105520 has 40 divisors (see below), whose sum is σ = 310310327856. Its totient is φ = 26693361408.

The previous prime is 100100105519. The next prime is 100100105527. The reversal of 100100105520 is 25501001001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100100105520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100100105520.

It is not an unprimeable number, because it can be changed into a prime (100100105527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208541647 + ... + 208542126.

Almost surely, 2^100100105520 is an apocalyptic number.

100100105520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100105520 is an abundant number, since it is smaller than the sum of its proper divisors (210210222336).

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

100100105520 is a wasteful number, since it uses less digits than its factorization.

100100105520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417083789 (or 417083783 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 100100105520 its reverse (25501001001), we get a palindrome (125601106521).

The spelling of 100100105520 in words is "one hundred billion, one hundred million, one hundred five thousand, five hundred twenty".