105415255251 has 16 divisors (see below), whose sum is σ = 164390262400. Its totient is φ = 66578055624.

The previous prime is 105415255189. The next prime is 105415255259. The reversal of 105415255251 is 152552514501.

105415255251 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 52 + 552 + 51 = 666.

It is not a de Polignac number, because 105415255251 - 2⁹ = 105415254739 is a prime.

It is a super-2 number, since 2×105415255251² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105415255259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102743401 + ... + 102744426.

It is an arithmetic number, because the mean of its divisors is an integer number (10274391400).

Almost surely, 2^105415255251 is an apocalyptic number.

105415255251 is a deficient number, since it is larger than the sum of its proper divisors (58975007149).

105415255251 is a wasteful number, since it uses less digits than its factorization.

105415255251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205487855 (or 205487849 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

Adding to 105415255251 its reverse (152552514501), we get a palindrome (257967769752).

The spelling of 105415255251 in words is "one hundred five billion, four hundred fifteen million, two hundred fifty-five thousand, two hundred fifty-one".