105016115100 has 72 divisors (see below), whose sum is σ = 327219455920. Its totient is φ = 25850119680.

The previous prime is 105016115093. The next prime is 105016115131. The reversal of 105016115100 is 1511610501.

It is a happy number.

It is a super-2 number, since 2×105016115100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13459705 + ... + 13467504.

Almost surely, 2^105016115100 is an apocalyptic number.

105016115100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105016115100 is an abundant number, since it is smaller than the sum of its proper divisors (222203340820).

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

105016115100 is a wasteful number, since it uses less digits than its factorization.

105016115100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26927239 (or 26927232 counting only the distinct ones).

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

Adding to 105016115100 its reverse (1511610501), we get a palindrome (106527725601).

It can be divided in two parts, 105016 and 115100, that added together give a triangular number (220116 = T₆₆₃).

The spelling of 105016115100 in words is "one hundred five billion, sixteen million, one hundred fifteen thousand, one hundred".