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106005013177 = 715143573311
BaseRepresentation
bin110001010111001100…
…1000010001010111001
3101010121200010121201011
41202232121002022321
53214044240410202
6120410435153521
710441621513360
oct1425631021271
9333550117634
10106005013177
1140a58080408
1218664a458a1
139cc494228b
1451b87b67d7
152b56512bd7
hex18ae6422b9

106005013177 has 4 divisors (see below), whose sum is σ = 121148586496. Its totient is φ = 90861439860.

The previous prime is 106005013171. The next prime is 106005013181. The reversal of 106005013177 is 771310500601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 771310500601 = 5381143339621.

It is a cyclic number.

It is not a de Polignac number, because 106005013177 - 235 = 71645274809 is a prime.

It is a super-2 number, since 2×1060050131772 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005013171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7571786649 + ... + 7571786662.

It is an arithmetic number, because the mean of its divisors is an integer number (30287146624).

Almost surely, 2106005013177 is an apocalyptic number.

It is an amenable number.

106005013177 is a deficient number, since it is larger than the sum of its proper divisors (15143573319).

106005013177 is an equidigital number, since it uses as much as digits as its factorization.

106005013177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143573318.

The product of its (nonzero) digits is 4410, while the sum is 31.

Adding to 106005013177 its reverse (771310500601), we get a palindrome (877315513778).

The spelling of 106005013177 in words is "one hundred six billion, five million, thirteen thousand, one hundred seventy-seven".

Divisors: 1 7 15143573311 106005013177