Search a number
-
+
106623873 = 3273162289
BaseRepresentation
bin1100101101011…
…11001110000001
321102122001110100
412112233032001
5204243430443
614325153013
72433200526
oct626571601
9242561410
10106623873
1155206104
122b85b769
1319122765
141023714d
1595623d3
hex65af381

106623873 has 12 divisors (see below), whose sum is σ = 156122980. Its totient is φ = 70108416.

The previous prime is 106623859. The next prime is 106623887. The reversal of 106623873 is 378326601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106623859) and next prime (106623887).

It can be written as a sum of positive squares in 2 ways, for example, as 41062464 + 65561409 = 6408^2 + 8097^2 .

It is not a de Polignac number, because 106623873 - 26 = 106623809 is a prime.

It is a super-2 number, since 2×1066238732 = 22737300587040258, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106623823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80488 + ... + 81801.

Almost surely, 2106623873 is an apocalyptic number.

It is an amenable number.

106623873 is a deficient number, since it is larger than the sum of its proper divisors (49499107).

106623873 is a wasteful number, since it uses less digits than its factorization.

106623873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162368 (or 162365 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106623873 is about 10325.8836425751. The cubic root of 106623873 is about 474.1890102377.

It can be divided in two parts, 10662 and 3873, that added together give a triangular number (14535 = T170).

The spelling of 106623873 in words is "one hundred six million, six hundred twenty-three thousand, eight hundred seventy-three".

Divisors: 1 3 9 73 219 657 162289 486867 1460601 11847097 35541291 106623873