Search a number
-
+
106166487 = 3724871483
BaseRepresentation
bin1100101001111…
…11100011010111
321101202211001010
412110333203113
5204134311422
614311303303
72426254200
oct624774327
9241684033
10106166487
1154a234a9
122b67ab33
1318cc250b
14101585a7
1594c1b0c
hex653f8d7

106166487 has 24 divisors (see below), whose sum is σ = 165115776. Its totient is φ = 60501168.

The previous prime is 106166447. The next prime is 106166491. The reversal of 106166487 is 784661601.

It is a happy number.

It is not a de Polignac number, because 106166487 - 212 = 106162391 is a prime.

It is a super-2 number, since 2×1061664872 = 22542645923842338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106166407) 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 23 ways as a sum of consecutive naturals, for example, 70848 + ... + 72330.

It is an arithmetic number, because the mean of its divisors is an integer number (6879824).

Almost surely, 2106166487 is an apocalyptic number.

106166487 is a deficient number, since it is larger than the sum of its proper divisors (58949289).

106166487 is a wasteful number, since it uses less digits than its factorization.

106166487 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106166487 is about 10303.7122921790. The cubic root of 106166487 is about 473.5099931842.

The spelling of 106166487 in words is "one hundred six million, one hundred sixty-six thousand, four hundred eighty-seven".

Divisors: 1 3 7 21 49 147 487 1461 1483 3409 4449 10227 10381 23863 31143 71589 72667 218001 722221 2166663 5055547 15166641 35388829 106166487