105187500136 has 128 divisors (see below), whose sum is σ = 214319001600. Its totient is φ = 48222085120.

The previous prime is 105187500127. The next prime is 105187500137. The reversal of 105187500136 is 631005781501.

It is a super-2 number, since 2×105187500136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105187500095 and 105187500104.

It is not an unprimeable number, because it can be changed into a prime (105187500137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399952341 + ... + 399952603.

It is an arithmetic number, because the mean of its divisors is an integer number (1674367200).

Almost surely, 2^105187500136 is an apocalyptic number.

It is an amenable number.

105187500136 is an abundant number, since it is smaller than the sum of its proper divisors (109131501464).

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

105187500136 is a wasteful number, since it uses less digits than its factorization.

105187500136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 105187500136 in words is "one hundred five billion, one hundred eighty-seven million, five hundred thousand, one hundred thirty-six".