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105115664229 = 3100373490939
BaseRepresentation
bin110000111100101100…
…0011011111101100101
3101001022200200000022020
41201321120123331211
53210234102223404
6120142305253353
710410602255322
oct1417130337545
9331280600266
10105115664229
1140641063384
1218457034259
139bb26078b4
14513262db49
152b033dbed9
hex187961bf65

105115664229 has 8 divisors (see below), whose sum is σ = 140168222880. Its totient is φ = 70070107536.

The previous prime is 105115664191. The next prime is 105115664267. The reversal of 105115664229 is 922466511501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105115664191) and next prime (105115664267).

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

It is a de Polignac number, because none of the positive numbers 2k-105115664229 is a prime.

It is a super-2 number, since 2×1051156642292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105115664629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715359 + ... + 1775580.

It is an arithmetic number, because the mean of its divisors is an integer number (17521027860).

Almost surely, 2105115664229 is an apocalyptic number.

It is an amenable number.

105115664229 is a deficient number, since it is larger than the sum of its proper divisors (35052558651).

105115664229 is a wasteful number, since it uses less digits than its factorization.

105115664229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500979.

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 105115664229 in words is "one hundred five billion, one hundred fifteen million, six hundred sixty-four thousand, two hundred twenty-nine".

Divisors: 1 3 10037 30111 3490939 10472817 35038554743 105115664229