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106005424361 = 4310922616903
BaseRepresentation
bin110001010111001101…
…0100110100011101001
3101010121200220111202012
41202232122212203221
53214044342034421
6120410452045305
710441625145224
oct1425632464351
9333550814665
10106005424361
1140a58331331
1218665003835
139cc4a57495
1451b88825bb
152b5659495b
hex18ae6a68e9

106005424361 has 8 divisors (see below), whose sum is σ = 109465815360. Its totient is φ = 102590267472.

The previous prime is 106005424351. The next prime is 106005424363. The reversal of 106005424361 is 163424500601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106005424361 - 218 = 106005162217 is a prime.

It is a super-2 number, since 2×1060054243612 (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 (106005424363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11303765 + ... + 11313138.

It is an arithmetic number, because the mean of its divisors is an integer number (13683226920).

Almost surely, 2106005424361 is an apocalyptic number.

It is an amenable number.

106005424361 is a deficient number, since it is larger than the sum of its proper divisors (3460390999).

106005424361 is a wasteful number, since it uses less digits than its factorization.

106005424361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22617055.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 106005424361 its reverse (163424500601), we get a palindrome (269429924962).

The spelling of 106005424361 in words is "one hundred six billion, five million, four hundred twenty-four thousand, three hundred sixty-one".

Divisors: 1 43 109 4687 22616903 972526829 2465242427 106005424361