105499587249 has 27 divisors (see below), whose sum is σ = 177279475737. Its totient is φ = 60281580744.

The previous prime is 105499587217. The next prime is 105499587253. The reversal of 105499587249 is 942785994501.

The square root of 105499587249 is 324807.

It is a perfect power (a square), and thus also a powerful number.

105499587249 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 9 + 587 + 2 + 49 = 666.

It is not a de Polignac number, because 105499587249 - 2⁵ = 105499587217 is a prime.

It is a super-2 number, since 2×105499587249² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (105499587299) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6813214 + ... + 6828680.

Almost surely, 2^105499587249 is an apocalyptic number.

105499587249 is the 324807-th square number.

105499587249 is the 162404-th centered octagonal number.

It is an amenable number.

105499587249 is a deficient number, since it is larger than the sum of its proper divisors (71779888488).

105499587249 is an frugal number, since it uses more digits than its factorization.

105499587249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30954 (or 15477 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 105499587249 in words is "one hundred five billion, four hundred ninety-nine million, five hundred eighty-seven thousand, two hundred forty-nine".