105100050500 has 48 divisors (see below), whose sum is σ = 229622628144. Its totient is φ = 42024614400.

The previous prime is 105100050463. The next prime is 105100050529. The reversal of 105100050500 is 5050001501.

It can be written as a sum of positive squares in 8 ways, for example, as 76183728196 + 28916322304 = 276014^2 + 170048^2 .

It is a super-2 number, since 2×105100050500² (a number of 23 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, 1379402 + ... + 1453598.

It is an arithmetic number, because the mean of its divisors is an integer number (4783804753).

Almost surely, 2^105100050500 is an apocalyptic number.

105100050500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105100050500 is an abundant number, since it is smaller than the sum of its proper divisors (124522577644).

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

105100050500 is a wasteful number, since it uses less digits than its factorization.

105100050500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77049 (or 77037 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 105100050500 in words is "one hundred five billion, one hundred million, fifty thousand, five hundred".