105000005100 has 72 divisors (see below), whose sum is σ = 304758650448. Its totient is φ = 27911648000.

The previous prime is 105000005093. The next prime is 105000005101. The reversal of 105000005100 is 1500000501.

It is a super-2 number, since 2×105000005100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (105000005101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456951 + ... + 647150.

It is an arithmetic number, because the mean of its divisors is an integer number (4232759034).

Almost surely, 2^105000005100 is an apocalyptic number.

105000005100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000005100 is an abundant number, since it is smaller than the sum of its proper divisors (199758645348).

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

105000005100 is a wasteful number, since it uses less digits than its factorization.

105000005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104435 (or 1104428 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

Adding to 105000005100 its reverse (1500000501), we get a palindrome (106500005601).

The spelling of 105000005100 in words is "one hundred five billion, five thousand, one hundred".