Search a number
-
+
106674085167 = 3132735232953
BaseRepresentation
bin110001101011001000…
…1010101110100101111
3101012100022002222221020
41203112101111310233
53221432031211132
6121001055505223
710464324522516
oct1432621256457
9335308088836
10106674085167
1141270816071
1218810b28213
13a0a0443170
14523d5bd67d
152b9512652c
hex18d6455d2f

106674085167 has 8 divisors (see below), whose sum is σ = 153173045424. Its totient is φ = 65645590848.

The previous prime is 106674085153. The next prime is 106674085181. The reversal of 106674085167 is 761580476601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106674085153) and next prime (106674085181).

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

It is not a de Polignac number, because 106674085167 - 222 = 106669890863 is a prime.

It is a super-2 number, since 2×1066740851672 (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 (106674085187) 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, 1367616438 + ... + 1367616515.

It is an arithmetic number, because the mean of its divisors is an integer number (19146630678).

Almost surely, 2106674085167 is an apocalyptic number.

106674085167 is a deficient number, since it is larger than the sum of its proper divisors (46498960257).

106674085167 is a wasteful number, since it uses less digits than its factorization.

106674085167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735232969.

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 106674085167 in words is "one hundred six billion, six hundred seventy-four million, eighty-five thousand, one hundred sixty-seven".

Divisors: 1 3 13 39 2735232953 8205698859 35558028389 106674085167